{
  "id": 2900,
  "curve_key": "1491758801307468351187581121:-57926273506253966073062533983025920994081",
  "ainvs": [
    "1",
    "0",
    "0",
    "-31078308360572257316407940",
    "67044298039643204207014551829281411600"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    6
  ],
  "naive_height": 187.71997936455674,
  "faltings_height": 13.48184930927608,
  "conductor": "64632587449756916613210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "19",
    "29",
    "97",
    "127",
    "991",
    "1709",
    "2437",
    "6991"
  ],
  "discriminant": "-20703810830352605864713118675636387316811184727697044587406245318457024000000",
  "regulator": "6020328.201165816538957533048615424275978819401721657",
  "points": [
    [
      "59299434396520/9",
      "328816225701576338420/27"
    ],
    [
      "7669368204880",
      "16727203845809375860"
    ],
    [
      "-21694499997105/4",
      "69770671431563702205/8"
    ],
    [
      "345151154320774/169",
      "-7639502525555992978886/2197"
    ],
    [
      "7586519153980",
      "16368022858044209260"
    ],
    [
      "-16104440589728120/7921",
      "7781095831706503931326940/704969"
    ],
    [
      "23993024579410",
      "-114600760937374920890"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1120 via the rational 2-torsion point x=3220528153480. 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 20:27:30",
  "updated_at": "2026-09-26 20:27:30"
}