curve #548

← home · all curves · JSON ↓

y² = x³ − 13113916392631181209071906712336582900x + 16989724982818946498809435542898439642053577749482482500

a-invariants: [0, 0, 0, -13113916392631181209071906712336582900, 16989724982818946498809435542898439642053577749482482500]
rank (lower bound): ≥ 24
torsion subgroup: trivial
conductor (N): 361660950250291954113011326751617907627414070443777168347285410734060239220929310535800
discriminant (Δ): 19639718015475750043867283222973691394689203697004578894337996136557173318349306387717936598262062442806196000000
Faltings height: 20.2909
naive height: 268.0138
primes of bad reduction: 2, 5, 7, 11, 13, 19, 29, 43, 47, 53, 283, 2231791, 55198576815130850694700026316333, 877962418283461968668418952014817
regulator: 944211553983650685500235.06978584632837816053151356910018039742617256231537141231419334
submitted by: wgxli
submitted at: 2026-09-03 04:52:13 UTC
last updated: 2026-09-03 04:52:13 UTC

Witness: 24 independent points log in to add more points →

(-323561695973140539092815032400/317393644129, 967885765307452613551419510567631094318621950/178812279048463633)
(85087421321150986526200/3721, 24524427172791271904987076958740050/226981)
(185141926434059939340838670/69572281, 561756381306258813786525176467144089650/580302395821)
(-33204053917656878544870/10609, -5717294748198789983670210244026550/1092727)
(1327855508610105634, 1384779415096565990146101002)
(-3905230054871886848566/961, -53071913093465474989603597184102/29791)
(51245802017668660056241/133956, 170041946706794456256238453901212489/49027896)
(-8367766782662527552965930/4363921, 53998075547290580983117453918179424550/9116230969)
(-825593237620846830, 5220513179946551902527905450)
(-189694778890139401970456/368449, 1086593943934389487350345493673675078/223648543)
(-1587137231038182998770/529, 65890648030819228943770722181750/12167)
(165148895543846518160980430460481/32759448146569, -1666541476769959954251816358520047642053428780921/187501551538876423003)
(16297134062017642411662310220350/14289178690609, -101291177585237021225083812576619144349101986550/54014567235907152727)
(14482853914592453050/9, 6265032974926390888707606850/27)
(-566717333098225696, -4923372516003075167915323442)
(74135468600555716470824200/4363921, -624780751798113556689578251964255496950/9116230969)
(1364084664821427799162136051122215430/433341062102758681, 749361175204484486094065834385477639827191972591844350/285262553310924106247000579)
(18631359632844850682541886630369801/7366507723603044, -19153129674570724342808083045967516611527297383749/632255291577198004733928)
(59806041171814692677667841620824/20606760644089, 171868946330770601345407275587977635888222461182/93543709920740760563)
(2996773920020156375560094350/1176284209, -13722748947310743801941800937575007516950/40343019516073)
(103701501250686268692742652955320/39246929679169, 218060323880996305898636761412693700748874180950/245871692497488163553)
(18742486673509350728645070/7392961, -3894553309831824633257055764341027750/20101460959)
(62995439243742315715296/24649, 1582888884251681174617538537084294/3869893)
(517776471473586380632832830/99141849, 9414226419300408072975012306697118172850/987155390493)

Commentary

No commentary yet.