{
  "id": 1994,
  "curve_key": "-328714215929074006471842656836324079:-385098707734732396244929219541988968139474582463148281",
  "ainvs": [
    "1",
    "0",
    "0",
    "6848212831855708468163388684090085",
    "445716096915199533261574703050462937323192786710225"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 246.7706788557,
  "faltings_height": 18.644244410077363,
  "conductor": "6580537988822228363790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "31",
    "41",
    "43",
    "109",
    "113",
    "2251",
    "53279"
  ],
  "discriminant": "-106377073857377932650601307731885540389396382116262706994380254441099502911789666644459375000000000000000",
  "regulator": "571859.8190700782133368120533541547143722903713",
  "points": [
    [
      "11528418095716319830/81",
      "47822947995625980514265623265/729"
    ],
    [
      "8144897055127278694630/175561",
      "-2161319990888351372389578504543685/73560059"
    ],
    [
      "-11493584603914736324930/237169",
      "-19207800459130081736048559793145/115501303"
    ],
    [
      "20268782729270270551048033728321818080/76201652840122044481",
      "96592500114384720453727339855744138062844781602810121015/665191340875320717259173740129"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "New curve, 2-isogenous partner of curve#1090; the 4 witness points are transported through the rational isogeny and certified independent by the exact 2-descent character test.",
  "created_at": "2026-09-26 04:30:42",
  "updated_at": "2026-09-26 04:30:42"
}