{
  "id": 4329,
  "curve_key": "50578948010857:-359712002964156162229",
  "ainvs": [
    "1",
    "0",
    "1",
    "-1053728083560",
    "416333248953396002"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 94.66367078682514,
  "faltings_height": 5.443538036917975,
  "conductor": "156061640559670622",
  "bad_primes": [
    "2",
    "7",
    "19",
    "223",
    "367",
    "439",
    "797",
    "2927"
  ],
  "discriminant": "-83230850279057972347925564263516",
  "regulator": "130843.1032446517784392477929200026665129330094442310",
  "points": [
    [
      "589461",
      "3990397"
    ],
    [
      "302005",
      "354316341"
    ],
    [
      "9486989/16",
      "-57923599/64"
    ],
    [
      "5340175/9",
      "-36223279/27"
    ],
    [
      "622399",
      "-40302269"
    ],
    [
      "18989092690/32041",
      "-4458933110631/5735339"
    ],
    [
      "6320517604/10609",
      "-4894395034173/1092727"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4823 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:06",
  "updated_at": "2026-10-17 10:05:06"
}