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curve #1755

y2 + xy = x3 − 427537435397738948801x + 3383173629601506421425388408905
a-invariants
[1, 0, 0, -427537435397738948801, 3383173629601506421425388408905]
rank (lower bound)
≥ 3
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
2334184516285710
discriminant (Δ)
56911528015801566867947631239707440141074162975866015110350400
Faltings height
10.6853
naive height
154.1273
primes of bad reduction
2, 3, 5, 11, 23, 61, 167, 179, 191, 883
regulator
769.27368517816816738842959139558118666624849
submitted by
hdeping
submitted at
last updated

Witness: 3 independent points log in to add more points →

Commentary

Specialization v=-215/883 of the Dujella-Peral torsion Z/2xZ/6 family y^2=x^3+A26(v)x^2+B26(v)x (Contemp. Math. 649, sec 2.2).

last edited by hdeping at · history

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