{
  "id": 2877,
  "curve_key": "430534825:3293465136875",
  "ainvs": [
    "1",
    "0",
    "1",
    "-8969476",
    "-3812628402"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "naive_height": 59.6416163186077,
  "faltings_height": 3.0295507706067575,
  "conductor": "88246450450",
  "bad_primes": [
    "2",
    "5",
    "29",
    "41",
    "59",
    "139",
    "181"
  ],
  "discriminant": "39905743033221122562500",
  "regulator": "225.18507296928700340458213295770975905213131196102",
  "points": [
    [
      "-2334",
      "67566"
    ],
    [
      "-14282/9",
      "2185697/27"
    ],
    [
      "-4293/4",
      "-536993/8"
    ],
    [
      "-2457",
      "-57033"
    ],
    [
      "-1268",
      "-73679"
    ],
    [
      "-15054/25",
      "-4589421/125"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1303 via the rational 2-torsion point x=1377. 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 20:26:29",
  "updated_at": "2026-09-26 20:26:29"
}