{
  "id": 1258,
  "curve_key": "43450437299041:-286411833561775828625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-905217443730",
    "331494800559601951"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 94.20792609602736,
  "faltings_height": 5.408210729551799,
  "conductor": "303390855746",
  "bad_primes": [
    "2",
    "11",
    "37",
    "59",
    "61",
    "103561"
  ],
  "discriminant": "59015953037335254059795279660032",
  "regulator": "526.7377672144578085159360774166064044318410741",
  "points": [
    [
      "4950319/9",
      "14636317/27"
    ],
    [
      "972433",
      "608439507"
    ],
    [
      "548933",
      "-116441"
    ],
    [
      "87922219/289",
      "1425372566301/4913"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Found by a Mestre-Nagao sieve over the Tate normal form family y^2+(t+1)xy+ty=x^3+tx^2 with torsion Z/5Z, at t=45628/-629.",
  "created_at": "2026-09-24 16:30:46",
  "updated_at": "2026-09-24 16:30:46"
}