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curve #1758

y2 + xy + y = x3 − x2 − 137832x + 20026539
a-invariants
[1, -1, 1, -137832, 20026539]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/7ℤ
conductor (N)
43190
discriminant (Δ)
-5081260310000000
Faltings height
1.8111
naive height
47.1448
primes of bad reduction
2, 5, 7, 617
regulator
1.838466062552926215099448662822296072660
submitted by
hdeping
submitted at
later contributions

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Commentary

Specialization t=-5/2 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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