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curve #1767

y2 + xy = x3 − 2337511x + 1374987977
a-invariants
[1, 0, 0, -2337511, 1374987977]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/7ℤ
conductor (N)
42042
discriminant (Δ)
444791982921302016
Faltings height
2.3619
naive height
55.6074
primes of bad reduction
2, 3, 7, 11, 13
regulator
2.500424069463769808359948264774993172196
submitted by
hdeping
submitted at
last updated

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Commentary

Specialization t=12/1 of the universal X_1(7) Tate normal form family y^2+(-t^2+t+1)xy+(-t^3+t^2)y=x^3+(-t^3+t^2)x^2 (K3 elliptic surface, rational 7-torsion point (0,0)).

last edited by hdeping at · history

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