{
  "id": 1403,
  "curve_key": "11536311982508738569:-39183253020391632186620010853",
  "ainvs": [
    "1",
    "0",
    "1",
    "-240339832968932054",
    "45350987272091625246362156"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    12
  ],
  "naive_height": 131.67609389496977,
  "faltings_height": 8.281491848056248,
  "conductor": "103273170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "181"
  ],
  "discriminant": "1380532103329034552579271510469092301056300",
  "regulator": "197.765026399407158291215763108282861595989",
  "points": [
    [
      "207880745981397/734449",
      "-86648777362697401/629422793"
    ],
    [
      "296330489616991983/98029801",
      "159308329847298459365523043/970593059701"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/12. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:21:54",
  "updated_at": "2026-09-24 23:21:54"
}