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curve #4158
y2 = x3 − x2 − 548870077332076033x − 60475836489794533890728063
- a-invariants
[0, -1, 0, -548870077332076033, -60475836489794533890728063]- c-invariants
[26345763711939649600, 52251122885257059553226944000]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
10001413030454504245060800 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10- discriminant (Δ)
9002543634517063523192043356990365896707612697600000000 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10- Faltings height
- 9.2379 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10
- naive height
- 134.1535 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 5, 41, 89, 107, 173, 277, 283, 373, 613, 1721- regulator
25824977.91161395032292192875633739392244667469894636279173- submitted by
- NDElkies
- submitted at
- last updated
(2703362928, 134953206762391)(-463468103, -9713585592000)(1703873247, -62856795494000)(-128673368, 2831731119675)(-141684128, 3800805051375)(-660307904, 3748180453983)(1823251897, 70708813272000)(6069017647, -469199742561000)(8117437897, 728261492220000)(1834324921497, 2484359062813732000)
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