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curve #4160
y2 = x3 − 8302267538236143x + 291004986516344709942258
- a-invariants
[0, 0, 0, -8302267538236143, 291004986516344709942258]- c-invariants
[398508841835334864, -251428308350121829390110912]- rank (lower bound)
- ≥ 9
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
33715686311397493635960- discriminant (Δ)
40922910124148027887288213675598953236184377600 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9- Faltings height
- 7.8842 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 9
- naive height
- 121.5795
- primes of bad reduction
2, 3, 5, 7, 13, 19, 23, 43, 47, 61, 67, 71, 139, 167, 173- regulator
174809.71587219199853630374628143635584793088208619625541- submitted by
- NDElkies
- submitted at
- last updated
(49063449, 42115576230)(58224579, 70683751800)(55535649, -34880951070)(-79329543, 671107494330)(4630196733, 315003729259674)(-103984719, -173048283954)(70519689, 237124327050)(64717269, -157358999070)(46677849, -71942345370)
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