curve #5355

y² + y = x³ + 10047375884514418897613567832949774835

a-invariants: [0, 0, 1, 0, 10047375884514418897613567832949774835]
c-invariants: [0, -8680932764220457927538122607668605457656]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 24915485748770580531834570162229287157743463325324573091213740347367403
discriminant (Δ): -43610297255159861451705471357484625961525958418752034694171054928467239125587
Faltings height: 13.3846
naive height: 183.9239
primes of bad reduction: 3, 7, 3305847422693, 1312719545984323365517
regulator: 57568962170849894897.7522246948453192437635468665164416209167670747484477
submitted by: wgxli
submitted at: 2026-10-21 16:00:15 UTC
last updated: 2026-10-21 16:00:15 UTC

(757573329793, 3237616463139239268)
(-2116705797555, 750729840497344264)
(-769203050657, 3097137218734537806)
(2783979928513, 5623587421771417563)
(2922536900145, 5916875201927508235)
(3388626073785, 6997016949185673139)
(-1851211719105, 1924396374961251985)
(-246871020695/4, 25357780087781603487/8)
(184903737432015, 2514310328939830082014)
(635766945574845, 16030494718450013314264)
(69692757769369/9, 588071314350638706844/27)
(-31027514938215/16, 106224552847195867165/64)
(49022929756479/25, 524217978070430666558/125)
(-31778006424891/25, 353411222810229003227/125)
(558760636828569/100, 13583076294585956704753/1000)
(124844700337874265/64, 44111839357145340909259043/512)
(7757407459613095/41209, 26525193518256997686870595/8365427)

Isogenous to curve #5353

last edited by wgxli at 2026-10-21 16:00:16 UTC · history