curve #1977

y² + xy = x³ − 9468594009199910821775026235x + 391555244342706113038825183927385153742225

a-invariants: [1, 0, 0, -9468594009199910821775026235, 391555244342706113038825183927385153742225]
rank (lower bound): ≥ 14
torsion subgroup: ℤ/2ℤ
conductor (N): 226358749368754196185387455802611568740743010
discriminant (Δ): -11902705962592246396681439547580292061246449225699700477337105104051880858685460000000
Faltings height: 15.0584
naive height: 205.0650
primes of bad reduction: 2, 3, 5, 7, 11, 41, 127, 137, 193, 197, 211, 269, 449, 863, 1153, 1289, 1697, 6833
regulator: 19113914356519.3472143593525958591164524252002997633301847234823929
submitted by: dujella
submitted at: 2026-09-25 20:26:09 UTC
last updated: 2026-09-25 20:26:09 UTC

(47837672254570, 219256739278969879465)
(159012385189570, 1704860597983625569465)
(113203019208730, 877707099875585260105)
(-379785557030, -628610550798257040035)
(150694553832070, 1544923707786326053465)
(4423977031795/4, 4938562614739635671195/8)
(-105239107838570, -471667325486574870335)
(-97378850096330, -624649787995923803135)
(2781894749213470, 146638885030002257302465)
(5956132655951830/169, 700376526525629066927605/2197)
(5727420806916370, 433387520147639397982165)
(2510868216033430/49, 69378911457566195617495/343)
(29411611466070, 372170566570883535465)
(189299897497282, 2320045014085200589957)

found by Dujella (2002)

last edited by dujella at 2026-09-25 20:26:10 UTC · history