{
  "id": 2811,
  "curve_key": "102515728:-955010432960",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2135744",
    "1106048064"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 55.33658036602159,
  "faltings_height": 2.573997553763071,
  "conductor": "62703888",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "23",
    "257"
  ],
  "discriminant": "95683738951223414784",
  "regulator": "27.52986278960443775503832395901323682199316358",
  "points": [
    [
      "-40279/25",
      "2378844/125"
    ],
    [
      "-1416",
      "35904"
    ],
    [
      "11680/9",
      "-614744/27"
    ],
    [
      "2954",
      "-143406"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1692 via the rational 2-torsion point x=3345. 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 20:23:29",
  "updated_at": "2026-09-26 20:23:29"
}