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curve #2061

y² + xy = x³ − 3072505791404x + 1700623300333036944

a-invariants: [1, 0, 0, -3072505791404, 1700623300333036944]
rank (lower bound): ≥ 3
torsion subgroup: ℤ/2ℤ × ℤ/4ℤ
conductor (N): 671144334
discriminant (Δ): 606946438533466457256166339858355257344
Faltings height: 6.1594
naive height: 97.8741
primes of bad reduction: 2, 3, 7, 19, 41, 73, 281
regulator: 1264.9292098714950400359553963810738467556531
submitted by: Steps Unbounded
submitted at: 2026-09-26 05:11:14 UTC
last updated: 2026-09-26 05:11:14 UTC

Witness: 3 independent points log in to add more points →

(88485216/49, 489711168276/343)
(352345648792/53361, 202242927718982284/12326391)
(134032219090072/53304601, -1223310571237598108476/389176891901)

Commentary

2-isogenous partner of curve#1568 (Michael Rubinstein).

last edited by Steps Unbounded at 2026-09-26 21:54:25 UTC · history

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