{
  "id": 4718,
  "curve_key": "55488:0",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1156",
    "0"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "family": "congruent",
  "families": [
    "quartic",
    "congruent"
  ],
  "naive_height": 32.77176618042064,
  "faltings_height": 0.7992209266765439,
  "conductor": "18496",
  "bad_primes": [
    "2",
    "17"
  ],
  "discriminant": "98867482624",
  "regulator": "7.09967518240335471222269992268930159230274",
  "points": [
    [
      "-2",
      "48"
    ],
    [
      "-16",
      "120"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Congruent-number curve y^2 = x^3 - n^2 x with n = 34. Source: Watkins, Donnelly, Elkies, Fisher, Granville, Rogers, 'Ranks of quadratic twists of elliptic curves', Publ. Math. Besancon 2014/2, 63-98, doi:10.5802/pmb.9 (https://pmb.centre-mersenne.org/item/10.5802/pmb.9.pdf), Table 2 'Smallest rank r quadratic twists y^2=x^3-d^2x'.",
  "created_at": "2026-10-20 21:25:44",
  "updated_at": "2026-10-20 21:25:44"
}