Timeline for What heuristic evidence is there concerning the unboundedness or boundedness of Mordell-Weil ranks of elliptic curves over $\Bbb Q$?
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| Sep 12, 2010 at 4:44 | comment | added | James Weigandt | I thought about this. There's a conjecture of Goldfeld and Szpiro, which is (assuming BSD) equivalent to the ABC conjecture which bounds the order of sha in terms of the conductor. These elliptic curves with large Selmer groups are likely to have very large conductors so this wouldn't force large rank. | |
| Sep 11, 2010 at 1:08 | history | answered | Felipe Voloch | CC BY-SA 2.5 |