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curve #1203
y2 + xy + y = x3 + x2 − 4872160096445408726x − 3100495634855392733745816877
- a-invariants
[1, 1, 1, -4872160096445408726, -3100495634855392733745816877]- rank (lower bound)
- ≥ 10
- torsion subgroup
- ℤ/2ℤ × ℤ/2ℤ
- conductor (N)
274041685980626458099814310 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10- discriminant (Δ)
3249076458422431562484574274412942188534388414784297190400 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10- Faltings height
- 9.7451 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10
- naive height
- 140.7038 ☆ record for ℤ/2ℤ × ℤ/2ℤ torsion, rank ≥ 10
- primes of bad reduction
2, 3, 5, 13, 41, 83, 101, 157, 163, 313, 389, 409, 613, 2617- regulator
14137287.02683206817267438684747074433555812955454862096134- submitted by
- NDElkies
- submitted at
- last updated
(-1257083111, 32213963684687)(-1690642159, -17442501010241)(3413103891, -141530899473101)(-1678314519, 18686298452359)(12820040579/4, 953509814049157/8)(23004093777, -3472520372850641)(2477862051, 6366023905129)(3150217969, -113198315057953)(78508522997, -21988868191737221)(2609729377, 44254046010959)
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