{
  "id": 2673,
  "curve_key": "17073:-1760265",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-356",
    "2126"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    2,
    2
  ],
  "naive_height": 29.2357606418137,
  "faltings_height": 0.44758552121289585,
  "conductor": "3663",
  "bad_primes": [
    "3",
    "11",
    "37"
  ],
  "discriminant": "1086823089",
  "regulator": "1.76531778719690863750930390985748629618957",
  "points": [
    [
      "-12",
      "73"
    ],
    [
      "16",
      "-27"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1427 via the rational 2-torsion point x=171/4. 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 20:17:07",
  "updated_at": "2026-09-26 20:17:07"
}