{
  "id": 1616,
  "curve_key": "1329074155713953419304094289:-48453351170909896506542545262644857098713",
  "ainvs": [
    "1",
    "0",
    "0",
    "-27689044910707362902168631",
    "56080267558921183906607609181152663145"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 187.3628402614292,
  "faltings_height": 13.020870990373892,
  "conductor": "1925633257466534070",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "29",
    "37",
    "43",
    "67",
    "97",
    "983",
    "2393"
  ],
  "discriminant": "1053698201007085861667151974990079048174942332696486707524331928654400",
  "regulator": "8791.708433537412727166536359217655631734957305",
  "points": [
    [
      "3037591153548",
      "1342747437129231"
    ],
    [
      "4088751592674",
      "3349914186514719201"
    ],
    [
      "24050873821015608/7921",
      "3606635779697841600549/704969"
    ],
    [
      "10619245485969759798/3613801",
      "2052584531321082717192972321/6869835701"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:39:08",
  "updated_at": "2026-09-25 01:39:08"
}