{
  "id": 4515,
  "curve_key": "903457216:-10663381181440",
  "ainvs": [
    "0",
    "1",
    "0",
    "-18822025",
    "12335602359"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 61.86521793975164,
  "faltings_height": 3.213568083623508,
  "conductor": "227742765099584",
  "bad_primes": [
    "2",
    "7",
    "17",
    "31",
    "137",
    "281",
    "25057"
  ],
  "discriminant": "360952343348270641221632",
  "regulator": "2656.869186448825295084473605218594849332186341725757",
  "points": [
    [
      "-3415",
      "191828"
    ],
    [
      "-4531",
      "67952"
    ],
    [
      "274",
      "84847"
    ],
    [
      "-2981",
      "204848"
    ],
    [
      "-2750",
      "208103"
    ],
    [
      "-19841/25",
      "20453552/125"
    ],
    [
      "-2113",
      "206584"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:315504 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:14",
  "updated_at": "2026-10-17 10:33:14"
}