The computer processor is running at high speed, and L(E,s) is Taylor unfolded at s = 1, and its unfolded order is equivalent to the Hasse-Wey rank r(E) of the elliptic curve E.

The rational points on the elliptical curve dance mystically under the command of the computer, seemingly chaotic, but in fact treading the beat.

A simple elliptic curve of the shape y^2=x^3+ax+b also has an infinite number of rational points, and such elliptic curves are infinitely numerous.

The condition of the modulo curve was limited to death by Zhao Tian and three other students, because in 1999, Kazuya Kato proved that all elliptic curves in the field of rational numbers are modulo curves.

It's a grand dance party between numbers and symbols, where prime p comes into play, spinning and jumping in a sea of data, counting the number of rational points on some elliptic curve, which translates into counting the number of solutions modulo prime p.

The background color of the computer screen is black, which is as deep as the depths of the universe. The dancers in the dark are a group of white elves, under the pressure of ordp(L'(E,1)/CE)=ordp(#Sha(E)), they are about to control their counts, their breathing becomes rapid, and their dance steps are chaotic and close to madness.

Looking at the ever-changing numbers and symbols on the screen, Xiaoyun was fascinated: "This is the beauty of mathematics, this is the power of mathematics, and the mysteries of the universe are hidden here." ”

"Hmm. Zeng Han nodded approvingly.

The progress of the design is 2%.

Even for high-performance computers, the theoretical assumptions of the Euleaf construct need to be verified for a week.

In Xiaoyun and Zeng Han's view, the mathematical world composed of massive elliptic curves and equations has an unparalleled sense of beauty and power.

Perhaps because the nerves of the prefrontal cortex are not as developed as those of the younger students, Zhao Tian only feels limited beauty and strength, and more because of the brain pain caused by complicated data processing.

"Don't you think it's a little strange, it was not Professor Shen who gave Sister Ye Zi's help and support, but Teacher Zhou Yu'an Zhou. Waiting for the time of data processing, Zhao Tian pulled up a digression.

Xiaoyun thought for a while and said, "Maybe Professor Shen secretly arranged for Teacher Zhou to do this?"

Zhao Tian shook his head: "This is not logical, why didn't Professor Shen come forward himself? Just imagine, if Professor Shen and Sister Ye Zi jointly proved the BSD conjecture, then the person who won the Fields Medal was Sister Ye Zi, because Professor Shen had won the Philippine Prize." The rules of the Philippine Prize are different from those of the Nobel Prize, and the Philippine Prize can only be won once. ”

Zeng Han retorted: "Your logic is wrong, do you think Sister Ye Zi needs Professor Shen to lie down?"

Zhao Tian waved his hand again and again: "Of course Sister Ye Zi doesn't need Professor Shen to lie down! I'm just curious, why doesn't Professor Shen care so much about BSD conjectures?"

Xiaoyun said: "Don't guess the big guy's thoughts, when you become the big guy, you may understand." Personally, I think that Professor Shen is actually very concerned about Sister Ye's BSD project, and the reason why he deliberately avoids the BSD conjecture is that he doesn't want his shadow to appear too much on Sister Ye. Let's not guess about the things between their husband and wife. The Philippine Award sets the upper age limit of 40 years old, unless there is a special situation of Andrew Wiles winning the award over age again, Sister Ye Zi only has two chances left to impact the Philippine Award, she doesn't say anything, but in her heart she is particularly eager for the Philippine Award. ”

Zhao Tian seemed to have realized something amazing: "The evaluation of the Philippine Award is uncertain, Professor Shen may be laying out, he asked Mr. Zhou to also intervene in the BSD conjecture project, is it a double insurance? ”

Xiaoyun disagreed: "According to the evaluation practice of the Philippine Award, if the same conjecture is proved by many people, only one person can win the Philippine Award." For example, Fermat's theorem was actually proved by Andrew Wiles and Richard Taylor, two academic partners, and the Filipino Prize was finally awarded to Andrew Wiles, while Richard Taylor wanted to win the Filipino Prize, and he could only rely on new projects and new research results to strive for it. ”

Zhao Tian's face changed uncertainly: "In this case, Mr. Zhou shouldn't get involved in our BSD project, what if he snatches Sister Ye's Philippine Award?"

"If Mr. Zhou was instructed by Professor Shen to intervene in Sister Ye's BSD conjecture project, then I think it is very likely that Mr. Zhou is Professor Shen's true love. Xiaoyun was suddenly excited, she felt that her guess was not necessarily unreliable, Mr. Zhou had a car, a house, a status and an identity, and he was not married in his thirties, why is this?

"I really love a ghost, you girls have seen too much of Jiwen, right? How can Teacher Zhou be a? Even if Mr. Zhou is a, the upright Professor Shen will never be a, and the country and the people will not allow him to be a. It's time for dinner, Zeng Han, you are guarding, I will go out to eat with Xiaoyun, and come back with you. Zhao Tian pulled Xiaoyun out of the center to eat.

The weather is getting hotter and hotter, and the heat is abnormal.

The highest temperature in the capital reached 40 degrees Celsius for several days, Zhao Tian, Xiaoyun, and Zeng Han had no desire to go out to eat, and they ordered takeout for three meals, except for sleeping, the rest of the time the three were soaked in the computer room of the Shen Qi Scientific Research Center.

The computer was running non-stop, and the air conditioner was humming.

Zhou Yu'an occasionally came to the computer room to inquire about the situation, while Shen Qi, the director of the Shen Qi Research Center, and Ou Ye, the academic leader of the project, had never been to the computer room.

Ou Ye didn't come to the computer room because she was hospitalized, her heart was concerned about the results of the computer calculation, and she would communicate with the three students on her mobile phone every day.

Shen Qi didn't come to the computer room because he hadn't even come to the center recently. Academician Shen's villa, Yanda People's Hospital, kindergarten, this is the location of Shen Qi's recent haunts.

The maximum outdoor temperature in the capital has reached a historic 41 degrees Celsius, which is the data given by the weather forecast, and the meteorological observatory has issued a red high temperature warning to remind the general public to pay attention to cooling.

The highest outdoor temperature measured by the physics team of Shen Qi Scientific Research Center is 44 degrees Celsius, which is especially northern, what is the concept of 44 degrees? It's so hot that dogs, dogs are dying of heat.

In this kind of abnormally hot dog days, the takeaway brother will have to add at least 15 yuan to an order.

Zhao Tian, Xiaoyun, and Zeng Han saved the effort of going downstairs to pick up takeout, the computer room was full of all kinds of food, the open food packaging bags emitted complex smells, and the instant coffee of various brands was rapidly decreasing at the rate of consuming one pack per hour.

At noon on this day, the sky was suddenly covered with dark clouds, and the lightning more than five meters wide was constantly refreshing, followed by rolling thunder.

Lightning and thunder, torrential rain, and a hellish summer week is finally over.

The rain crackled on the glass of the computer room, and the computer, which had been working continuously for a week, finally gave the calculation results.

"This is ......" Zhao Tian, Xiaoyun, and Zeng Han stared at the screen with wide eyes, excited, but puzzled.