{
  "id": 4505,
  "curve_key": "27639702976:-4557455364377600",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-575827145",
    "5275024540041"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 72.12755726886948,
  "faltings_height": 3.8672696475098247,
  "conductor": "143073212630034624",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "31",
    "41",
    "43",
    "1033",
    "99241"
  ],
  "discriminant": "199675695082101992952532992",
  "regulator": "14770.3888493747452432880540532229155366274906296398026",
  "points": [
    [
      "-19447",
      "3019632"
    ],
    [
      "-17851",
      "3140928"
    ],
    [
      "5519",
      "1505028"
    ],
    [
      "16169",
      "437472"
    ],
    [
      "39016",
      "-6496081"
    ],
    [
      "15301",
      "215264"
    ],
    [
      "-2927",
      "2633512"
    ],
    [
      "15469",
      "262472"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:635306 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:50",
  "updated_at": "2026-10-17 10:32:50"
}