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curve #4547

y2 = x3 − 11542418351x + 477302083629876
a-invariants
[0, 0, 0, -11542418351, 477302083629876]
c-invariants
[554036080848, -412389000256212864]
rank (lower bound)
≥ 5
torsion subgroup
ℤ/2ℤ
conductor (N)
554036080832
discriminant (Δ)
554036080832
Faltings height
3.8459
naive height
81.1215
primes of bad reduction
2, 13, 17, 19, 59, 83, 421
regulator
1836802.50393718817464699043215671011085822163659
submitted by
The Wren
submitted at
last updated

Witness: 5 independent points log in to add more points →

Commentary

Obtained as a rational 2-isogenous partner of ICARM curve #4359, submitted by Volkan Dagli. This is the partner with the smallest minimal discriminant found in that rational isogeny class. It has the same rank lower bound and conductor. Five rational witness points were transported through the degree-2 isogeny.

last edited by The Wren at · history

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