{
  "id": 4381,
  "curve_key": "3719916042889456:-245137024613470756559896",
  "ainvs": [
    "0",
    "1",
    "1",
    "-77498250893530",
    "283723382284692707434"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 107.71220858243043,
  "faltings_height": 6.934116060047358,
  "conductor": "967393423544955",
  "bad_primes": [
    "3",
    "5",
    "11",
    "89",
    "577",
    "4219",
    "27061"
  ],
  "discriminant": "-4986573063609402571963670085770774848096875",
  "regulator": "10243.9108903223871531584537921091283450145482983",
  "points": [
    [
      "7158581",
      "9787207402"
    ],
    [
      "-8028522391/1024",
      "663000858238901/32768"
    ],
    [
      "338327365814/80089",
      "127665042084590194/22665187"
    ],
    [
      "1559589629/4",
      "61575198513671/8"
    ],
    [
      "66536309/4",
      "479809069901/8"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve from torsion/torsion_Z5.tsv.gz:1302 (mrubinst/elliptic-curves-by-rank) + Werr 4-Pillar Algebraic Sieve factorization.",
  "created_at": "2026-10-17 10:09:23",
  "updated_at": "2026-10-17 10:09:23"
}