curve #6382

y² + y = x³ − 18179746638791555521531872032070523x + 942558478032546632790593649389034072549708682470084

a-invariants: [0, 0, 1, -18179746638791555521531872032070523, 942558478032546632790593649389034072549708682470084]
c-invariants: [872627838661994665033529857539385104, -814370525020120290731072913072125438682948301654152792]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 303151010258249444176255254964649729487922711702320556149509632065460732805220114955614678205
discriminant (Δ): 745788671253966960841657807563888573299357506827139533278813774480050712441631035116213138858802016325
Faltings height: 18.4615
naive height: 248.2705
primes of bad reduction: 5, 7, 11, 13, 23, 43, 71, 12619, 45356083, 215298882680203299070627340371771199707375234856890204742609581214165701
regulator: 45952101575999725543609788.826740922670059727544463758813256351522016943937578176266884
submitted by: apkorte
submitted at: 2026-11-02 00:01:34 UTC
last updated: 2026-11-02 00:01:34 UTC

(302081849934332993/4, 4626862089266403910548621/8)
(59959068343408654, 8250820956954439640859582)
(73062776708202479, 2077783264120847213010917)
(90913455208731036, 6418559663446391838205328)
(85305916798998644, 3535274145222972857350152)
(80167411572284918, -596892145050008567057799)
(84476104067164119, 3105432336218434604645477)
(92516426116838283, 7246249310317582746141621)
(-332167729473809159/4, -346833513004180720456539969/8)
(1324935388456310729/16, -142523717028203940328935067/64)
(-152451691662885032, -13072215835929761884565524)
(376034784074297754, -217436132326019049281724918)
(30712496162438433, 20326900134125455882526553)
(4393663771328308106/25, 7044266384284292181846107746/125)
(104880215680097354, -13767003347000456487554043)
(32607245787251452972/729, 291207587795316041402804542784/19683)
(302670452432310201/4, 3412877808587439891389401/8)
(-40893099243591896, 40219415183171022560929667)
(82926145260468664, -2290015139028550548997428)
(95759858211853717, -8932058663815550777676663)
(5323717246314488281/64, 1242613624647669724329921379/512)
(94570941085480741, -8312240775028719735427722)
(81664212100282589, 1595612290894375914133577)
(54404228190405197129/676, -14948995480804824467462193183/17576)

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