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curve #5455
y2 + y = x3 − 163332357
- a-invariants
[0, 0, 1, 0, -163332357]
- c-invariants
[0, 141119156232]
- rank (lower bound)
- ≥ 8
- torsion subgroup
- trivial
- family
- y2 = x3 + k (Mordell curves)
- conductor (N)
3841554061657334961 ☆ record for Mordell curves, rank ≥ 8
- discriminant (Δ)
-11524662184972004883 ☆ record for Mordell curves, rank ≥ 8
- Faltings height
- 2.3365 ☆ record for Mordell curves, rank ≥ 8
- naive height
- 51.3457 ☆ record for Mordell curves, rank ≥ 8
- primes of bad reduction
3, 8867, 73681
- regulator
553440.457639989030657395454871367958097438600701721529
- submitted by
- Daniel Błażewicz
- submitted at
- last updated
(2193/4, 9661/8)
(2217/4, 21055/8)
(639, 9878)
(689, 12796)
(843, 20874)
(1139, 36253)
(1359, 48441)
(1649, 65731)
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