{
  "id": 4512,
  "curve_key": "5620452928:-421342694156800",
  "ainvs": [
    "0",
    "1",
    "0",
    "-117092769",
    "487626124351"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 67.34903426932637,
  "faltings_height": 3.2865282990461817,
  "conductor": "235864182223808",
  "bad_primes": [
    "2",
    "17",
    "41",
    "103",
    "313",
    "401",
    "409"
  ],
  "discriminant": "10174720414251376246784",
  "regulator": "12782.96943569039654174679609190674664982875710187568",
  "points": [
    [
      "5465",
      "104704"
    ],
    [
      "6386",
      "18437"
    ],
    [
      "7931",
      "240608"
    ],
    [
      "-261",
      "719840"
    ],
    [
      "12827",
      "1047040"
    ],
    [
      "98674/9",
      "19504801/27"
    ],
    [
      "53251/9",
      "1203040/27"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:315507 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:07",
  "updated_at": "2026-10-17 10:33:07"
}