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Old 2019-03-25, 20:36   #1
Mar 2019

5·11 Posts
Talking Similar conjecture to the modularity theoerm

Introduction: The modularity theorem is a mathematical assertion which states that for any elliptic curve defined over Q there exists a modular form associated to the elliptic curve, this conjecture was formulated by Goro Shimura, Yutaka Taniyama and Andrew Weil in 1955.
After 46 years the conjecture was finally proven by Brian Conrad, Christophe Breuli, Fred Diamond and Richard Taylor.

The conjecture that I have formulated is the following:

For every elliptic curve E defined over Z there exists a modular form of weight k, where k is a positive integer

This was what I wanted to share with you, thank you for reading
If you have any counterexamples or ideas leave them in the comments please :)

Last fiddled with by MathDoggy on 2019-03-25 at 20:37
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