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来源：百度知道 编辑：UC知道 时间：2024/06/23 00:52:36
Frey curves
Suppose there were a nontrivial solution of the Fermat equation for some number n, i. e. nonzero integers a, b, c, n such that
Then we recall that around 1982 Frey called attention to the elliptic curve
Call this curve E. Frey noted it had some very unusual properties, and guessed it might be so unusual it could not actually exist.
To begin with, various routine calculations enable us to make some useful simplifying assumptions, without loss of generality. For instance, n may be supposed to be prime and 5. b can be assumed to be even, a 3 (mod 4), and c 1 mod 4. a, b, and c can be assumed relatively prime.
The "minimal discriminant" of E, can be computed to be - a power of 2 times a perfect prime power. One unusual thing about E is how large the discriminant is.
The conductor is a product of primes at which E has bad reduction, which is the same as the set of primes that divide the minimal discriminant. However, the e
Suppose there were a nontrivial solution of the Fermat equation for some number n, i. e. nonzero integers a, b, c, n such that
Then we recall that around 1982 Frey called attention to the elliptic curve
Call this curve E. Frey noted it had some very unusual properties, and guessed it might be so unusual it could not actually exist.
To begin with, various routine calculations enable us to make some useful simplifying assumptions, without loss of generality. For instance, n may be supposed to be prime and 5. b can be assumed to be even, a 3 (mod 4), and c 1 mod 4. a, b, and c can be assumed relatively prime.
The "minimal discriminant" of E, can be computed to be - a power of 2 times a perfect prime power. One unusual thing about E is how large the discriminant is.
The conductor is a product of primes at which E has bad reduction, which is the same as the set of primes that divide the minimal discriminant. However, the e
弗雷曲线
假设有平凡解决费尔马方程的一些数N岛即非零整数有A ， B ，碳，氮等的
然后，我们还记得， 1982年左右弗雷呼吁注意椭圆曲线
呼叫这个曲线体育弗雷指出它有一些非常不寻常的性能，并猜测它可能是这样不同寻常的可能实际上并不存在。
首先，各种例行的计算使我们能够取得一些有益的简化假设，而不丧失概括性。举例来说，正可理应总理和5 。 B可以被假定为，甚至3 （模4 ） ，和c一模4 。 1 ， B和C可以假定相对总理。
在“最低限度的判别”的E ，可以计算应-功率的2倍一个完美的总理权力。一个不寻常的事E是多么大的区别的。
售票员是一个素产品在法国已经减少坏，这是一样的一套分裂素最小判别。然而，确切的权力每个主要发生在导体取决于什么类型的奇异的曲线模拥有的不良素减少。的定义售票员提供磷划分为导体只有第一个电源如果× （沙） （十+二）只有一个双重根源，而不是三根模页现在，任何主要可以分为只有A或B ，但不能两者同时使用，否则它也将鸿沟c和我们已经承担了， B和C相对总理。因此，多项式会的形式x （十+四）改进型磷，在哪里（磷，四） = 1 。因此，只有在最根本的双重模任何总理，因此，导体平方米的自由。换句话说， E是半。
还有其他一些奇怪的事情英文，这都与特定属性的伽罗瓦交涉。由于这些，里贝的结果使我们得出这样的结论不能被模块化。
证明费马最后定理从谷山，志村猜想
弗雷后提请注意不寻常的椭圆曲线这将导致如果有实际上是一个平凡解决费尔马方程，让皮埃尔丝氨酸
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