{
  "id": 2681,
  "curve_key": "7092288:-15949647360",
  "ainvs": [
    "0",
    "0",
    "0",
    "-147756",
    "18460240"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "naive_height": 47.32355566346629,
  "faltings_height": 1.9396846767090985,
  "conductor": "614592",
  "bad_primes": [
    "2",
    "3",
    "11",
    "97"
  ],
  "discriminant": "59233061162778624",
  "regulator": "7.9502588463747533890877956705870931903227276",
  "points": [
    [
      "3833/4",
      "-220077/8"
    ],
    [
      "8306/25",
      "-307296/125"
    ],
    [
      "1698",
      "-68288"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1529 via the rational 2-torsion point x=-292. 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 20:17:30",
  "updated_at": "2026-09-26 20:17:30"
}