{
  "id": 2645,
  "curve_key": "7349473:-19529237105",
  "ainvs": [
    "1",
    "1",
    "1",
    "-153114",
    "22539486"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 47.43041750381439,
  "faltings_height": 1.8482655303260738,
  "conductor": "35139",
  "bad_primes": [
    "3",
    "13",
    "17",
    "53"
  ],
  "discriminant": "9021336601834089",
  "regulator": "2.61709471353856531039378494479972002810721",
  "points": [
    [
      "1576",
      "-61606"
    ],
    [
      "34012",
      "-6289318"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1170 via the rational 2-torsion point x=225. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:15:09",
  "updated_at": "2026-09-26 20:15:09"
}