{
  "id": 1310,
  "curve_key": "97869561664:-30149109519206912",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2038949201",
    "34895482334001"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2,
    2
  ],
  "naive_height": 75.92070427684972,
  "faltings_height": 4.210699675620619,
  "conductor": "21392949126720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "19",
    "31",
    "59",
    "67",
    "563"
  ],
  "discriminant": "16475697804183480382246502400",
  "regulator": "1368.2618849891726027364914879503382354377665839891",
  "points": [
    [
      "-11515",
      "7539696"
    ],
    [
      "1210195",
      "1330407284"
    ],
    [
      "-136699/121",
      "8117739360/1331"
    ],
    [
      "33525",
      "2053824"
    ],
    [
      "-424611/49",
      "2471344800/343"
    ],
    [
      "30893",
      "1178496"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:29:55",
  "updated_at": "2026-09-24 17:29:55"
}