{
  "id": 4566,
  "curve_key": "242063968:-3758573152736",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-5042999",
    "4351881408"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 57.9141377393109,
  "faltings_height": 2.6256922827018987,
  "conductor": "1360863192",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "47",
    "53",
    "103"
  ],
  "discriminant": "32903641419539132112",
  "regulator": "173.6797048667416339087574321892813240470044028",
  "points": [
    [
      "1357",
      "2353"
    ],
    [
      "9652/9",
      "358046/27"
    ],
    [
      "31156/25",
      "130754/125"
    ],
    [
      "592",
      "39668"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Michael Rubinstein's elliptic-curves-by-rank repository, torsion/torsion_Z4.tsv.gz: https://github.com/mrubinst/elliptic-curves-by-rank. Four supplied rational points checked exactly and certified independent modulo torsion. Rational torsion C4. Source-attributed existing curve.",
  "created_at": "2026-10-18 02:03:29",
  "updated_at": "2026-10-18 02:03:29"
}