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curve #1732

y2 + xy = x3 − 11842820x + 15197648400
a-invariants
[1, 0, 0, -11842820, 15197648400]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/10ℤ
conductor (N)
29370
discriminant (Δ)
6511602493440000000000
Faltings height
2.9563
naive height
60.4753
primes of bad reduction
2, 3, 5, 11, 89
regulator
1.890014365747455248108585236245575910445
submitted by
hdeping
submitted at
last updated

Witness: 1 independent point log in to add more points →

Commentary

Specialization u=-1/9 of the X_1(10) universal curve for torsion Z/10Z (Halbeisen-Hungerbuehler-Voznyy-Zargar 2021, Thm 4), y^2+xy=x^3+A(u)x^2+B(u)x.

last edited by hdeping at · history

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