{
  "id": 3755,
  "curve_key": "454542496:-9690847038080",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-9469635",
    "11219414691"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 59.80440590328288,
  "faltings_height": 2.239649644775334,
  "conductor": "909085056",
  "bad_primes": [
    "2",
    "3",
    "11",
    "83",
    "2593"
  ],
  "discriminant": "1818170112",
  "regulator": "457.1276219211372468340909108499349019299960676",
  "points": [
    [
      "809",
      "63932"
    ],
    [
      "1649",
      "9232"
    ],
    [
      "1778",
      "73"
    ],
    [
      "3458",
      "140753"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Found 2026-10-01 in a discriminant-first search for elliptic curves over Q with rational 2-torsion, using the family y^2 = x^3 + A*x^2 + B*x and screening low-discriminant candidates. PARI/GP 2.17.4 on the global minimal model gives ellrank bounds [4,4], torsion Z/2Z, conductor 909085056, and minimal discriminant 1818170112. The four submitted points are the independent generators returned by ellrank(E,1).",
  "created_at": "2026-10-01 13:58:09",
  "updated_at": "2026-10-01 13:58:09"
}