{
  "id": 4365,
  "curve_key": "12706030372875841:-4763859641003885283819361",
  "ainvs": [
    "1",
    "0",
    "0",
    "-264708966101580",
    "5513726414288008940400"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 113.64620084098081,
  "faltings_height": 7.525228669504774,
  "conductor": "170538660294990",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "31",
    "41",
    "15331",
    "22441"
  ],
  "discriminant": "-11946213181088721157470353312926212514687500000",
  "regulator": "2604.35649299856245318072402063069238593322534422",
  "points": [
    [
      "1078360140",
      "35407123447020"
    ],
    [
      "42452670",
      "266034342210"
    ],
    [
      "834480660",
      "24101073987120"
    ],
    [
      "598826085/16",
      "14025174982455/64"
    ],
    [
      "10232820",
      "62256364560"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:1290 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:06:25",
  "updated_at": "2026-10-17 10:06:25"
}