{
  "id": 2938,
  "curve_key": "2415912323470576:-110527653419329213506176",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-50331506738970",
    "127925541568059206400"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 106.26256015311158,
  "faltings_height": 6.810676662399859,
  "conductor": "248416958159611680",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "19",
    "31",
    "59",
    "67",
    "659",
    "19841"
  ],
  "discriminant": "1090526541027896072952265581104372960040000",
  "regulator": "33083.55048248698146177904295214569044456546866031076",
  "points": [
    [
      "31470685/4",
      "-118374201375/8"
    ],
    [
      "6871800",
      "-10322551980"
    ],
    [
      "-746240",
      "-12847932240"
    ],
    [
      "1104406005/4",
      "-36690281354205/8"
    ],
    [
      "8136760",
      "16034320740"
    ],
    [
      "2171040025/64",
      "-99090715145565/512"
    ],
    [
      "5507040",
      "-4214568600"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#2101 via the rational 2-torsion point x=16256659. 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 20:29:13",
  "updated_at": "2026-09-26 20:29:13"
}