{
  "id": 2566,
  "curve_key": "21013129:8458081883",
  "ainvs": [
    "1",
    "0",
    "1",
    "-437774",
    "-9825928"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 50.58197397244121,
  "faltings_height": 2.282934875710839,
  "conductor": "2310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11"
  ],
  "discriminant": "5328033205714065000",
  "regulator": "3.327524201803031021174960401652510736501",
  "points": [
    [
      "-270",
      "-9284"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1047 via the rational 2-torsion point x=325. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny.",
  "created_at": "2026-09-26 20:09:42",
  "updated_at": "2026-09-26 20:09:42"
}