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curve #2293

y2 + xy = x3 − 1794863771470x + 801771608423216900
a-invariants
[1, 0, 0, -1794863771470, 801771608423216900]
rank (lower bound)
≥ 1
torsion subgroup
ℤ/2ℤ × ℤ/6ℤ
conductor (N)
179031930
discriminant (Δ)
92355968274830966246113881000000000000
Faltings height
6.0102
naive height
96.2615
primes of bad reduction
2, 3, 5, 7, 11, 17, 47, 97
regulator
5.721464602273675694381134577151112600694
submitted by
Natanael Wildner Fraga
submitted at
last updated

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

Commentary

Exact computational search in the full 2-torsion/3-torsion family with p=-11, q=36; A=(3q-p)(p+q)^3=1859375, B=-(p+3q)(p-q)^3=10070831. The listed points are independent modulo torsion by the exact 2-descent Kummer squareclass map. The rank is a proven lower bound; no upper bound is claimed.

last edited by Natanael Wildner Fraga at · history

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