Timeline for The rank of elliptic curves and related quadratic twists
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
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| Aug 13 at 14:59 | comment | added | joro | @NoamD.Elkies I asked stronger result conjecture: mathoverflow.net/questions/476863/… | |
| Aug 13 at 6:30 | comment | added | joro | @NoamD.Elkies Many thanks for the verification. If someone else is verifying, computing only the root number is significantly faster than computing the analytic (or algebraic) rank. | |
| Aug 12 at 21:35 | comment | added | Noam D. Elkies | Confirmed for $0 < k < 10^4$, which automatically gives the same result for all nonzero $k$ with $|k| < 10^4$ because for these curves the $d$ and $-2d$ twists are isogenous. Moreover, in each case at least one of the four ranks is even. But it's not just a parity obstruction: each of 1, 2, or 3 odd-rank twists arises about 1/3 of the time. | |
| Aug 12 at 18:36 | history | edited | joro | CC BY-SA 4.0 |
typos
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| Aug 12 at 18:17 | history | edited | joro | CC BY-SA 4.0 |
Added root number
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| Aug 12 at 16:51 | history | answered | joro | CC BY-SA 4.0 |