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curve #2124

y2 + xy = x3 − 3862230018500760x + 91420337087883924609600
a-invariants
[1, 0, 0, -3862230018500760, 91420337087883924609600]
rank (lower bound)
≥ 2
torsion subgroup
ℤ/2ℤ × ℤ/4ℤ
conductor (N)
302411130
discriminant (Δ)
76663400156560832176235475416928253953600000000
Faltings height
7.8074
naive height
119.2837
primes of bad reduction
2, 3, 5, 7, 17, 23, 29, 127
regulator
119.838964065630546297150809186036083439282
submitted by
Steps Unbounded
submitted at
last updated

Witness: 2 independent points log in to add more points →

Commentary

Rational 2-isogenous neighbor of curve#1779. The two submitted points are exact images of the two certified independent points on curve#1779 under the 2-isogeny. Since a nonzero isogeny has finite kernel, their images remain independent modulo torsion. The resulting model has full rational 2-torsion: x(x - 442050625)(x - 418079809).

last edited by Steps Unbounded at · history

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