curve #5353

y² + y = x³ − 372125032759793292504206216035176846

a-invariants: [0, 0, 1, 0, -372125032759793292504206216035176846]
c-invariants: [0, 321516028304461404723634170654392794728]
rank (lower bound): ≥ 17
torsion subgroup: trivial
family: y² = x³ + k (Mordell curves)
conductor (N): 24915485748770580531834570162229287157743463325324573091213740347367403
discriminant (Δ): -59822081282798163856934802959512518465742055444104299992004190574029134603
Faltings height: 12.8353
naive height: 177.3322
primes of bad reduction: 3, 7, 3305847422693, 1312719545984323365517
regulator: 172706886512549684693.256674084535957731290640599549324862750301224245343
submitted by: wgxli
submitted at: 2026-10-21 15:59:00 UTC
last updated: 2026-10-21 15:59:00 UTC

(719348197212, 10497663389608686)
(723514296612, 81333396215830161)
(792140821962, 353458767047240438)
(934602961026, 666509174855480169)
(943972015182, 684859502833789958)
(1087446943128, 955942155245425617)
(3824507353986, 7454421186104156310)
(11546020344516, 39227982496005840750)
(15440806419396, 60671260286555730065)
(29371635052032, 159180181668343636433)
(48370098074922/49, 263419351339727451546/343)
(90736057278612/121, 296294914192503216106/1331)
(1703218483406692/81, 70290535287592743537214/729)
(643705634935524/289, 16054336061040122489025/4913)
(19093489091644758/361, 2638319576624523755789858/6859)
(6997913529722698/7569, 425828857670187961018879/658503)
(4791447068166626182/4124961, 9158786077341824210625530426/8377795791)

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