{
  "id": 4325,
  "curve_key": "40706164628080057:-8212781383320671371103149",
  "ainvs": [
    "1",
    "0",
    "1",
    "-848045096418335",
    "9505533937802574570582"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 114.73546782285885,
  "faltings_height": 7.053904718520282,
  "conductor": "1387579280932932129238",
  "bad_primes": [
    "2",
    "7",
    "37",
    "43",
    "73",
    "97",
    "433",
    "2029",
    "232877"
  ],
  "discriminant": "2618311886049646541221533473080034200364",
  "regulator": "6169187.03282611110039874931959743331405300371091743941",
  "points": [
    [
      "3907430469/289",
      "111041282554908/4913"
    ],
    [
      "225649579/4",
      "3005792118523/8"
    ],
    [
      "294556469/16",
      "736531098959/64"
    ],
    [
      "13407081",
      "23352343796"
    ],
    [
      "2847004684/169",
      "495716022017/2197"
    ],
    [
      "34795152955/2116",
      "253554299964473/97336"
    ],
    [
      "305769995897/19321",
      "18625736551838908/2685619"
    ],
    [
      "377274631341/21025",
      "-24787249714712874/3048625"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:7105 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:04:53",
  "updated_at": "2026-10-17 10:04:53"
}