{
  "id": 1713,
  "curve_key": "231073755780323536:-111101489336656591499224216",
  "ainvs": [
    "0",
    "1",
    "1",
    "-4814036578756740",
    "128589685127562565760744"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 119.94497266756655,
  "faltings_height": 7.7157971872082145,
  "conductor": "64433374031895",
  "bad_primes": [
    "3",
    "5",
    "11",
    "19",
    "23",
    "41",
    "61",
    "431",
    "829"
  ],
  "discriminant": "-3089766191709857211784746972876827785341796875",
  "regulator": "557.072615505777968517849347968415858736802624021",
  "points": [
    [
      "339428709/4",
      "4603432824371/8"
    ],
    [
      "5775132654/49",
      "375485951983141/343"
    ],
    [
      "157598709/4",
      "71410989371/8"
    ],
    [
      "2276968046",
      "108601556659612"
    ],
    [
      "7511241",
      "304719659722"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:14:28",
  "updated_at": "2026-09-25 06:14:28"
}