{
  "id": 1250,
  "curve_key": "5043794212801:-11333090571075959201",
  "ainvs": [
    "1",
    "1",
    "1",
    "-105079046100",
    "13116959192846485"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "naive_height": 87.74851697882455,
  "faltings_height": 5.060301403470467,
  "conductor": "43672360510",
  "bad_primes": [
    "2",
    "5",
    "19",
    "79",
    "2909551"
  ],
  "discriminant": "-72640591228995082787392716800000",
  "regulator": "246.9712513103996155999846855438082599443858048",
  "points": [
    [
      "2960333/16",
      "185584387/64"
    ],
    [
      "183293",
      "3744833"
    ],
    [
      "26385965/49",
      "115045012055/343"
    ],
    [
      "2756197/9",
      "2649360091/27"
    ]
  ],
  "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=10112/760.",
  "created_at": "2026-09-24 16:26:19",
  "updated_at": "2026-09-24 16:26:19"
}