{
  "id": 4517,
  "curve_key": "4017418825:-254566812573125",
  "ainvs": [
    "1",
    "1",
    "0",
    "-83696225",
    "294602641125"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 66.34171635006068,
  "faltings_height": 3.2566627800414394,
  "conductor": "60825818974350",
  "bad_primes": [
    "2",
    "3",
    "5",
    "41",
    "61",
    "241",
    "269"
  ],
  "discriminant": "20536925389404662250000",
  "regulator": "2693.837075650373073517475200820501676094931464685400",
  "points": [
    [
      "6430",
      "-152665"
    ],
    [
      "5005",
      "-35815"
    ],
    [
      "7955",
      "-367690"
    ],
    [
      "7055",
      "231710"
    ],
    [
      "5930",
      "79835"
    ],
    [
      "-7295",
      "-715390"
    ],
    [
      "-890",
      "607395"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:315434 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:19",
  "updated_at": "2026-10-17 10:33:19"
}