{
  "id": 1228,
  "curve_key": "50578139051481:-495824392637007341085",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1053711230239",
    "573871088239158649"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 95.30550698165094,
  "faltings_height": 5.963027012425143,
  "conductor": "33696601705258235525930879596769745214",
  "bad_primes": [
    "2",
    "105907",
    "31206899",
    "5097776928898745253724999"
  ],
  "discriminant": "-67393203410516471051861759193539490428",
  "regulator": "651471396475.56750017292713503535460265462073008114524843528658913036",
  "points": [
    [
      "230856",
      "585477299"
    ],
    [
      "302220",
      "531847253"
    ],
    [
      "653186",
      "404993559"
    ],
    [
      "1139236",
      "-923614395"
    ],
    [
      "-805619",
      "949031270"
    ],
    [
      "-964879",
      "832516150"
    ],
    [
      "-1217484",
      "228884519"
    ],
    [
      "698995",
      "422564927"
    ],
    [
      "887066",
      "580227619"
    ],
    [
      "476964",
      "423784343"
    ],
    [
      "208421",
      "602647125"
    ],
    [
      "-240254",
      "901874775"
    ],
    [
      "-12689756/25",
      "123645594993/125"
    ],
    [
      "1426125",
      "1403439718"
    ],
    [
      "805140",
      "497008613"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:36:00",
  "updated_at": "2026-09-24 14:36:00"
}