{
  "id": 4367,
  "curve_key": "193659560656:-89959256713725400",
  "ainvs": [
    "0",
    "1",
    "1",
    "-4034574180",
    "104118165227270"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 78.0762665191182,
  "faltings_height": 4.44762202551513,
  "conductor": "45302059803",
  "bad_primes": [
    "3",
    "7",
    "11",
    "13",
    "19",
    "793979"
  ],
  "discriminant": "-480124294101701972297511739803",
  "regulator": "66.53039359864946391519601202547302844453619243",
  "points": [
    [
      "-68775",
      "7502995"
    ],
    [
      "406700",
      "256385629"
    ],
    [
      "844137",
      "773436163"
    ],
    [
      "734076/25",
      "413977001/125"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE families/family_Z5.tsv.gz:14 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:29",
  "updated_at": "2026-10-17 10:06:29"
}