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curve #4163
y2 + xy = x3 − x2 − 5152084861023x + 4482411023886917625
- a-invariants
[1, -1, 0, -5152084861023, 4482411023886917625]- c-invariants
[247300073329113, -3872802011787966847005]- rank (lower bound)
- ≥ 8
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
947344284538715502- discriminant (Δ)
72694356669301831506053637775704072324 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8- Faltings height
- 6.1137 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8
- naive height
- 99.4249 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 8
- primes of bad reduction
2, 3, 19, 37, 71, 73, 79, 107, 659, 2593- regulator
78860.7448613032043431690533095774324867640200514591394- submitted by
- NDElkies
- submitted at
- last updated
(1229175, 81367515)(1549743, -469842834)(-10769, -2130227602)(2188314, 1919126403)(1232764, -68035377)(159912, 1913717331)(824901, 890521926)(1399491, 113848623)
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