{
  "id": 3019,
  "curve_key": "62360328256:9211696638133760",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1299173505",
    "-10662118981601"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 74.56858543502771,
  "faltings_height": 4.256563870561149,
  "conductor": "65155172589047744",
  "bad_primes": [
    "2",
    "7",
    "31",
    "41",
    "113",
    "127",
    "1721"
  ],
  "discriminant": "91233881284152150745937641472",
  "regulator": "78412.4700522768236175637840453027344948731803573004399",
  "points": [
    [
      "-18343",
      "2645216"
    ],
    [
      "39869",
      "-957068"
    ],
    [
      "-9571",
      "946372"
    ],
    [
      "-12391",
      "1879792"
    ],
    [
      "-95654/9",
      "-37658411/27"
    ],
    [
      "-21621",
      "-2705672"
    ],
    [
      "356851/9",
      "-10876024/27"
    ],
    [
      "-3733309/121",
      "-302908984/1331"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1350 via the rational 2-torsion point x=15443. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:33:33",
  "updated_at": "2026-09-26 20:33:33"
}