{
  "id": 3754,
  "curve_key": "104799817888:-33926635429707520",
  "ainvs": [
    "0",
    "1",
    "0",
    "-2183329539",
    "39266211378241"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 76.12595361336575,
  "faltings_height": 3.475276769994818,
  "conductor": "209599635712",
  "bad_primes": [
    "2",
    "17",
    "241",
    "337",
    "593"
  ],
  "discriminant": "419199271424",
  "regulator": "6529.65639270999110250157030567337193444195534401",
  "points": [
    [
      "21359",
      "1541770"
    ],
    [
      "26856",
      "34397"
    ],
    [
      "26985",
      "2276"
    ],
    [
      "16860624/625",
      "7057/15625"
    ],
    [
      "185844551/6889",
      "45170/571787"
    ]
  ],
  "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 [5,5], torsion Z/2Z, conductor 209599635712, and minimal discriminant 419199271424. The five submitted points are the independent generators returned by ellrank(E,1).",
  "created_at": "2026-10-01 13:57:05",
  "updated_at": "2026-10-01 13:57:05"
}