{
  "id": 4702,
  "curve_key": "0:-2381603468028127835256",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "2756485495402925735"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 98.44412187953813,
  "faltings_height": 6.261332732419806,
  "conductor": "1500881439282313662166917441111457401",
  "bad_primes": [
    "3",
    "29",
    "163",
    "443",
    "195012572003"
  ],
  "discriminant": "-3282427707710419979159048443710757335987",
  "regulator": "181995421083.74198433425206247249941288636241951940218533569934",
  "points": [
    [
      "-1343795",
      "574352364"
    ],
    [
      "-1089537",
      "1209589213"
    ],
    [
      "-1034015",
      "1284885239"
    ],
    [
      "-937409",
      "1390234082"
    ],
    [
      "-746367",
      "1529938408"
    ],
    [
      "-681617",
      "1561987533"
    ],
    [
      "-604509",
      "1592350177"
    ],
    [
      "-570407",
      "1603401231"
    ],
    [
      "-386315",
      "1642812260"
    ],
    [
      "-285137",
      "1653270386"
    ],
    [
      "83875",
      "1660444385"
    ],
    [
      "1141041",
      "2059633912"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Historical rank-12 Mordell curve y^2 = x^3 + 176415071705787247056, obtained by the rational 3-isogeny from Jordi Quer's 1987 rank-12 example.",
  "created_at": "2026-10-20 21:02:34",
  "updated_at": "2026-10-20 21:02:34"
}