{
  "id": 4328,
  "curve_key": "31250828142937:-174699832684637395549",
  "ainvs": [
    "1",
    "0",
    "1",
    "-651058919645",
    "202198826167124052"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 93.21920186660553,
  "faltings_height": 5.317931724908371,
  "conductor": "70344906853811702",
  "bad_primes": [
    "2",
    "7",
    "41",
    "43",
    "61",
    "109",
    "113",
    "1663",
    "2281"
  ],
  "discriminant": "-15712229917480115978132451995116",
  "regulator": "106144.6700355996243365635639936882725973789313756163",
  "points": [
    [
      "554905",
      "108300428"
    ],
    [
      "11029257",
      "-36538651590"
    ],
    [
      "29786329/64",
      "189384769/512"
    ],
    [
      "688401",
      "-283610454"
    ],
    [
      "59436006/121",
      "39928062706/1331"
    ],
    [
      "6501955205/14161",
      "12954829424144/1685159"
    ],
    [
      "-49807307/144",
      "1073899628921/1728"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z3.tsv.gz:4787 (mrubinst/elliptic-curves-by-rank) + conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 10:05:04",
  "updated_at": "2026-10-17 10:05:04"
}