{
  "id": 1363,
  "curve_key": "10297819402210800:-1045361457584273420229600",
  "ainvs": [
    "0",
    "0",
    "0",
    "-214537904212725",
    "1209909094426242384525"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 110.61280989978404,
  "faltings_height": 6.953415465052721,
  "conductor": "8016738491175953348700",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "31",
    "41",
    "83",
    "179",
    "211",
    "7527307"
  ],
  "discriminant": "-432551470918127221449529127176342264470000",
  "regulator": "224311.233363448886449778634208956346676342916819281758",
  "points": [
    [
      "-13812915",
      "39215372295"
    ],
    [
      "-6632585",
      "48384653705"
    ],
    [
      "1398495",
      "-30209502945"
    ],
    [
      "-16015755",
      "23190167055"
    ],
    [
      "7338780",
      "5541873855"
    ],
    [
      "-13988045",
      "-38391385645"
    ],
    [
      "4512445",
      "18267504695"
    ],
    [
      "1850220340/81",
      "-66125213511445/729"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:39:01",
  "updated_at": "2026-09-24 17:39:01"
}