{
  "id": 4364,
  "curve_key": "25320582053488801:-4048009337380054743399025",
  "ainvs": [
    "1",
    "0",
    "0",
    "-527512126114350",
    "4685195948378682480516"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 113.32053494100927,
  "faltings_height": 7.276303822560061,
  "conductor": "127432166671362",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "59",
    "67",
    "193",
    "209311"
  ],
  "discriminant": "-88279707243004626315174867839319172797431808",
  "regulator": "2772.07230422376200810494283218900896680782327100",
  "points": [
    [
      "49908980",
      "320406311714"
    ],
    [
      "19491516",
      "42515377218"
    ],
    [
      "31841338428/289",
      "5566884555940002/4913"
    ],
    [
      "12929268",
      "5110563618"
    ],
    [
      "-23953167054/1849",
      "7686355783138290/79507"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:1288 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:24",
  "updated_at": "2026-10-17 10:06:24"
}