Note: the original submission silently dropped one of the witness points, possibly due to the parser bug fixed in https://github.com/icarm/elliptic-rank/commit/7717d4da140cd7ba4ef702c6f7841e00f3194c38.
Under GRH+BSD the rank is exactly 30 (if one applies https://arxiv.org/abs/1112.1503 with Delta=4.25 one gets an upper bound of 31 on the analytic rank, and the root number is 1, so the rank is even).
[edit: Hmm not sure where to put this so editing Drew's comment (sorry Drew!): it was Claude, with Levent Alpöge and Ava Howell!]
[edit wgxli]:
specialization at T=12473/32946 of
y^2+(Lx+B)y=x(x+D)(x+E),
where
B = pE + qD + pq(L-p-q),
L = -10340482T^2 + 48716518T - 4436170,
p = 1345905T^2 + 6071604T - 43997,
q = 169(1757T^2 + 169808T + 10560),
D = 11340016558200T^4 + 100399938810750T^3 + 94651330477309T^2 + 1291548172478T - 5344262336985,
E = 5408(6409666485T^4 + 59220491056T^3 - 72530579204T^2 + 37829024608T + 5489594880).
Note: the original submission silently dropped one of the witness points, possibly due to the parser bug fixed in https://github.com/icarm/elliptic-rank/commit/7717d4da140cd7ba4ef702c6f7841e00f3194c38.
Under GRH+BSD the rank is exactly 30 (if one applies https://arxiv.org/abs/1112.1503 with Delta=4.25 one gets an upper bound of 31 on the analytic rank, and the root number is 1, so the rank is even).
[edit: Hmm not sure where to put this so editing Drew's comment (sorry Drew!): it was Claude, with Levent Alpöge and Ava Howell!]
Note: the original submission silently dropped one of the witness points, possibly due to the parser bug fixed in https://github.com/icarm/elliptic-rank/commit/7717d4da140cd7ba4ef702c6f7841e00f3194c38.
Under GRH+BSD the rank is exactly 30 (if one applies https://arxiv.org/abs/1112.1503 with Delta=4.25 one gets an upper bound of 31 on the analytic rank, and the root number is 1, so the rank is even).
[edit: Hmm not sure where to put this so editing Drew's comment (sorry Drew!): it was Claude, with Levent Alpöge and Ava Howell!]
Note: the original submission silently dropped one of the witness points, possibly due to the parser bug fixed in https://github.com/icarm/elliptic-rank/commit/7717d4da140cd7ba4ef702c6f7841e00f3194c38.
Under GRH+BSD the rank is exactly 30 (if one applies https://arxiv.org/abs/1112.1503 with Delta=4.25 one gets an upper bound of 31 on the analytic rank, and the root number is 1, so the rank is even).
Note: the original submission silently dropped one of the witness points, possibly due to the parser bug fixed in https://github.com/icarm/elliptic-rank/commit/7717d4da140cd7ba4ef702c6f7841e00f3194c38.
wgxli ·
ranksunbounded ·
ranksunbounded ·
Andrew Sutherland ·
David Renshaw ·
ranksunbounded ·