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curve #1730

y2 + xy = x3 − 4823545x + 3990649337
a-invariants
[1, 0, 0, -4823545, 3990649337]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/10ℤ
conductor (N)
140910
discriminant (Δ)
301447494810000000000
Faltings height
2.7139
naive height
57.7807
primes of bad reduction
2, 3, 5, 7, 11, 61
regulator
1.985036711852144487620563849612154098238
submitted by
hdeping
submitted at
last updated

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

Commentary

Specialization u=-3/7 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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