{
  "id": 5348,
  "curve_key": "562576:-42741567640",
  "ainvs": [
    "0",
    "1",
    "1",
    "-11720",
    "49465500"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 48.95687552937213,
  "faltings_height": 2.137428171126039,
  "conductor": "1057096963922857483",
  "bad_primes": [
    "31973",
    "33062176333871"
  ],
  "discriminant": "-1057096963922857483",
  "regulator": "194150.45226087733694425986711443511141616057197606282646",
  "points": [
    [
      "-378",
      "168"
    ],
    [
      "-356",
      "2940"
    ],
    [
      "-338",
      "3863"
    ],
    [
      "-125",
      "6999"
    ],
    [
      "-119",
      "7013"
    ],
    [
      "50",
      "7000"
    ],
    [
      "113",
      "7042"
    ],
    [
      "685/4",
      "57967/8"
    ],
    [
      "411",
      "10688"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Tom Womack's 2003 thesis, Explicit Descent on Elliptic Curves, Table 3.1: https://johncremona.github.io/theses/womack.pdf. Nine supplied rational points checked exactly; PARI/GP returned rank bounds [9,9]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-21 15:18:16",
  "updated_at": "2026-10-21 15:18:16"
}