{
  "id": 4099,
  "curve_key": "46669542656656:-199988722810573426880",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-972282138680",
    "231468753272950656"
  ],
  "rank_lower_bound": 10,
  "torsion": [
    2
  ],
  "naive_height": 94.42233862898313,
  "faltings_height": 5.906981525523397,
  "conductor": "5740013965355926916692272",
  "bad_primes": [
    "2",
    "3",
    "19",
    "31",
    "37",
    "43",
    "179",
    "193",
    "2593",
    "12433",
    "114577"
  ],
  "discriminant": "35678779709199808340630178738962998272",
  "regulator": "4490925.721201182459883216966363645651316267290700755827059",
  "points": [
    [
      "-1073074",
      "197905674"
    ],
    [
      "2313304",
      "-3218949728"
    ],
    [
      "-3435955/4",
      "-5263200903/8"
    ],
    [
      "13118350/9",
      "37325015918/27"
    ],
    [
      "5554141/4",
      "-9987373199/8"
    ],
    [
      "-1057634",
      "276997846"
    ],
    [
      "-85879",
      "560654964"
    ],
    [
      "-470344",
      "-764672784"
    ],
    [
      "6680894",
      "-17086047978"
    ],
    [
      "911545",
      "320319784"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-09 14:51:23",
  "updated_at": "2026-10-09 14:51:23"
}