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curve #773

y² + y = x³ − 970459x + 361564062

a-invariants: [0, 0, 1, -970459, 361564062]
rank (lower bound): ≥ 9
torsion subgroup: trivial
conductor (N): 106278324146660791
discriminant (Δ): 2019288158786555029
Faltings height: 2.3040
naive height: 52.9702
primes of bad reduction: 19, 522161, 10712397149
regulator: 54840.799678408902685802615179826755257063811279702595318
submitted by: Michael Rubinstein
submitted at: 2026-09-18 12:37:42 UTC
last updated: 2026-09-18 12:37:42 UTC

Witness: 9 independent points log in to add more points →

(484, 2289)
(218, 12663)
(237, 12036)
(-86, 21080)
(1662, 57788)
(845, -12037)
(674, 3695)
(788, 9281)
(-675, 26628)

Commentary

From Michael Rubinstein's github repository: https://github.com/mrubinst/elliptic-curves-by-rank

last edited by Michael Rubinstein at 2026-09-18 12:37:42 UTC · history

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