{
  "id": 1317,
  "curve_key": "142578510049:-53886072862467793",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2970385626",
    "62367892354980"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 77.05129690197231,
  "faltings_height": 4.190923877325325,
  "conductor": "19402232256030",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "59",
    "83",
    "499",
    "20359"
  ],
  "discriminant": "-3057207159354645138505934400",
  "regulator": "762.07573987249229479760294496634759800297687920377",
  "points": [
    [
      "36948",
      "1730286"
    ],
    [
      "-31020",
      "11180670"
    ],
    [
      "1848",
      "7541286"
    ],
    [
      "-9072",
      "9415626"
    ],
    [
      "1741422/49",
      "-452040282/343"
    ],
    [
      "2501908/81",
      "205188814/729"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:31:07",
  "updated_at": "2026-09-24 17:31:07"
}