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curve #2043

y² + xy + y = x³ + x² − 494007199x − 1140782678404

a-invariants: [1, 1, 1, -494007199, -1140782678404]
rank (lower bound): ≥ 5
torsion subgroup: ℤ/2ℤ × ℤ/2ℤ
conductor (N): 23832077997
discriminant (Δ): 7153783980290481537357690609
Faltings height: 4.0360
naive height: 71.6678
primes of bad reduction: 3, 7, 13, 17, 29, 53, 257
regulator: 9340.99919532813699321868759841015068804176638762
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:07:10 UTC
last updated: 2026-09-26 05:07:10 UTC

Witness: 5 independent points log in to add more points →

(27653, -2532819)
(-29113/4, 11536995/8)
(-49273/4, 14079063/8)
(-2063601/100, -505770977/1000)
(-20365/4, 8937381/8)

Commentary

2-isogenous partner of curve#1695 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:50:42 UTC · history

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