curve #5354

y² + y = x³ − 10304352629027924783440895282434677028

a-invariants: [0, 0, 1, 0, -10304352629027924783440895282434677028]
c-invariants: [0, 8902960671480127012892933524023560951976]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 20973764563625620794533860687974151980778874013811982435979547707546385041
discriminant (Δ): -45869623100649232677645553324599470381963397468206805587487270836403944084667
Faltings height: 13.3889
naive height: 183.9744
primes of bad reduction: 3, 5303, 287869273968694862682643515059531
regulator: 770837308444274109627.309405555255034956375578240923538036443785087823589
submitted by: wgxli
submitted at: 2026-10-21 15:59:52 UTC
last updated: 2026-10-21 15:59:52 UTC

(2341983182232, 1594100475629803084)
(3104612192560, 4429426013962403916)
(3129880415070, 4511810038161007291)
(3567983653344, 5926034888223215692)
(4462439975994, 8863287658794886027)
(4586808978094, 9284216727722064132)
(5462308421922, 12356112816016196395)
(13218197268532, 47949857588640671859)
(40315054890142, 255956835310811984964)
(64200325008580/9, 507051707086046738116/27)
(81886299554638/9, 735911503046632999468/27)
(200729110828138/9, 2842586986438064168380/27)
(733880769457948/9, 19880812732857722799940/27)
(246058378173066/25, 3838819017099707334239/125)
(852803893224732/121, 24535030446167563817060/1331)
(9180568047127017/196, 879594603198977243794145/2744)
(299399082089678076/25, 163823310121486269471052199/125)

Isogenous to curve #5352

last edited by wgxli at 2026-10-21 15:59:52 UTC · history