{
  "id": 2642,
  "curve_key": "117887018881:19951949099033279",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2455979560",
    "-23092738344400"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    4,
    2
  ],
  "naive_height": 76.47897760691244,
  "faltings_height": 4.4247602589346,
  "conductor": "2607990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "1129"
  ],
  "discriminant": "717729627963028908691406250000",
  "regulator": "16.6338797735328024183330679881744832337799",
  "points": [
    [
      "-12430",
      "2354540"
    ],
    [
      "56870",
      "-4629010"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1469 via the rational 2-torsion point x=21968. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:14:49",
  "updated_at": "2026-09-26 20:14:49"
}