{
  "id": 1625,
  "curve_key": "-69656019868363998215471:-8734678188601638091635068314590361",
  "ainvs": [
    "1",
    "0",
    "0",
    "1451167080590916629489",
    "10109581236928382084997238786937"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 157.7935682389102,
  "faltings_height": 11.233652942990137,
  "conductor": "2372516444958198",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "23",
    "41",
    "320336659"
  ],
  "discriminant": "-239735475759464499750237219712005843352907072606779611568221241344",
  "regulator": "1783.482949355584862400342432890936094586547999",
  "points": [
    [
      "-1901408506",
      "2709880199090717"
    ],
    [
      "82164681602",
      "26154134409075017"
    ],
    [
      "-1576672838506/1369",
      "147127152048153666953/50653"
    ],
    [
      "47711802374162",
      "329563298822055556757"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/7. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:48:20",
  "updated_at": "2026-09-25 01:48:20"
}