curve #3810

y² + xy + y = x³ − x² − 964629424697152853342x + 6140918282869357721900694133741

a-invariants: [1, -1, 1, -964629424697152853342, 6140918282869357721900694133741]
rank (lower bound): ≥ 16
torsion subgroup: trivial
conductor (N): 43917239546373632769677736394476635049266916990
discriminant (Δ): 41155125338234664426394934101068312463755258280820575372876800000
Faltings height: 11.0956
naive height: 156.5684
primes of bad reduction: 2, 3, 5, 7, 13, 23, 37, 67, 94047394828078142899646163826418787913
regulator: 8360672039554.982718846007827553271159360241672059230944782850754116164
submitted by: 7fff-zip
submitted at: 2026-10-03 04:54:37 UTC
last updated: 2026-10-03 04:54:37 UTC

(6297577321, 562000887874739)
(68586319561, 16205405905020179)
(-22100458439, 4082306735202179)
(-6028376231, -3425925798385789)
(-313081529, 2538286044656339)
(-33836118809, -204529056986491)
(-31402304279, -2338048607628061)
(2631168481, -1902902114188501)
(31384437571, 2603770269901739)
(-15014008871, 4152044139848099)
(-33773127419, -443859767018401)
(33350706001, -3326399403559021)
(171596057821, 69952010417120939)
(897913321, -2296843633356061)
(32663527201, -3079242254352781)
(-30018626879, 2836816950313739)

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