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curve #1734

y2 + xy = x3 − 13736615x + 11732181225
a-invariants
[1, 0, 0, -13736615, 11732181225]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/10ℤ
conductor (N)
94710
discriminant (Δ)
106415753000070937500000
Faltings height
3.1184
naive height
60.9203
primes of bad reduction
2, 3, 5, 7, 11, 41
regulator
2.953084209848756920332794352327255756618
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization u=-1/6 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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