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curve #4165
y2 + xy = x3 + x2 − 241641174856x + 40112089591195120
- a-invariants
[1, 1, 0, -241641174856, 40112089591195120]- c-invariants
[11598776393113, -34656932397615531965]- rank (lower bound)
- ≥ 7
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
1031653729212054 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 7- discriminant (Δ)
207927744942228876191851991687825424- Faltings height
- 5.5046
- naive height
- 90.2458
- primes of bad reduction
2, 3, 13, 17, 43, 103, 191, 263, 269- regulator
7006.324358508200633380838261112065849340660957661017- submitted by
- NDElkies
- submitted at
- last updated
(9339, -194571412)(-442232, 246161884)(1749493, 2228942434)(180552, 48583660)(609796, 345403192)(988148, -875822476)(5535495, 12971034745)
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