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curve #1729

y2 + xy = x3 − 1561580x + 774335376
a-invariants
[1, 0, 0, -1561580, 774335376]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/10ℤ
conductor (N)
32718
discriminant (Δ)
-15402588724729479168
Faltings height
2.4530
naive height
54.4585
primes of bad reduction
2, 3, 7, 19, 41
regulator
1.759615939446467824555384797421523585111
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization u=-7/1 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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