curve #4308

y² + xy + y = x³ − x² − 29735621x + 62246307296

a-invariants

[1, -1, 1, -29735621, 62246307296]

c-invariants

[1427309793, -53774386609905]

rank (lower bound)

≥ 7

torsion subgroup

ℤ/2ℤ

conductor (N)

224236676260701

discriminant (Δ)

9288055568722279899069

Faltings height

3.0817

naive height

63.2372

primes of bad reduction

3, 13, 23, 61, 127, 757, 1093

regulator

1618220.174381064571497026511313994390179172639749097

submitted by

Volkan Dagli

submitted at

2026-10-17 09:47:26 UTC

later contributions

(414805, -267340833)
(41113, -8286807)
(127201/9, -42582065/27)
(3289, -5715)
(30301/9, 412465/27)
(4405, 127107)
(23131/4, 2290565/8)

Rational 2-isogeny of 2-7.ec from Layr Labs / Yukon Elliptic Rank Challenge via pCwOrM Werr Algebraic Sieve.

last edited by Volkan Dagli at 2026-10-17 09:47:26 UTC · history