{
  "id": 6458,
  "curve_key": "145069882443513648:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3022289217573201",
    "0"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 118.54797590735394,
  "faltings_height": 7.947238403920985,
  "conductor": "96713254962342432",
  "bad_primes": [
    "2",
    "3",
    "73",
    "373",
    "673"
  ],
  "discriminant": "1766802638780509052861871058716392562105308134464",
  "regulator": "279612.917988424411005004254566722117333134808203",
  "points": [
    [
      "-5963151",
      "133455319380"
    ],
    [
      "-52650865728/961",
      "1001075041733256/29791"
    ],
    [
      "497664433/4",
      "9959473917953/8"
    ],
    [
      "3116668937281/56644",
      "226641317117140295/13481272"
    ],
    [
      "36211618076881/108900",
      "214908635426221171279/35937000"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x, n = 54975351. Found in a local squarefree-parameter search using Monsky 2-Selmer matrices and Mestre-Nagao scoring, followed by PARI/GP ellrank point search. Search performed 2026-11-03. Method reference: Dujella, Janfada, Salami (2009), https://web.math.pmf.unizg.hr/~duje/pdf/Sajad_JIS.pdf.",
  "created_at": "2026-11-03 18:34:55",
  "updated_at": "2026-11-03 18:34:55"
}