curve #632

y² = x³ + x² + 5365964600284239371851791x + 14610806763317668249280146321957009215

a-invariants: [0, 1, 0, 5365964600284239371851791, 14610806763317668249280146321957009215]
rank (lower bound): ≥ 10
torsion subgroup: ℤ/4ℤ
conductor (N): 1286355112934990078205895192224
naive height: 184.6728
Faltings height: 13.4586
discriminant (Δ): -102109831128227776898996136985859820461780511299750847270563010469067781132288
primes of bad reduction: 2, 3, 13, 23, 29, 89, 127, 211, 257, 277, 397, 599, 947, 3109
regulator: 718088290.2013258676017159777164409056842518362366981973749
submitted by: Maksym Voznyy
submitted at: 2026-09-07 22:21:43 UTC
last updated: 2026-09-07 22:21:43 UTC

(-481561549686, 3451824108575669073)
(14226198513, 3832381364126005692)
(-876724802157, 3038493239492760972)
(1572849910698, 5190536505800612673)
(-1530696957942, 1676504493512744337)
(167896430085453, 2175725964008832334632)
(2291392442418, 6239971645725964203)
(2249038281533, 6168880912264161312)
(-577134290262, 3364771968584939583)
(2580925660593, 6756623848368234972)

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