{
  "id": 1627,
  "curve_key": "-41542090673162251679:-479373533348762421888618692881",
  "ainvs": [
    "1",
    "0",
    "0",
    "865460222357546910",
    "554830478485041154974956100"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    7
  ],
  "naive_height": 136.68455524689784,
  "faltings_height": 9.475678102357513,
  "conductor": "24049252256610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "41",
    "89",
    "673",
    "46633"
  ],
  "discriminant": "-174473409781649596965498372982969875938554453524480000000",
  "regulator": "1692.091636620929235120854595323467334752140211",
  "points": [
    [
      "197295400580/361",
      "236714810377222490/6859"
    ],
    [
      "18270216964/9",
      "2789931160174394/27"
    ],
    [
      "8234339340",
      "-752337357090450"
    ],
    [
      "585305753844/289",
      "506173115535825966/4913"
    ]
  ],
  "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 01:50:23",
  "updated_at": "2026-09-25 01:50:23"
}