{
  "id": 2753,
  "curve_key": "134032230801:-26058673477445049",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2792338142",
    "30161199794541"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 76.86403840902206,
  "faltings_height": 4.453708154052001,
  "conductor": "1134044730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "131",
    "151"
  ],
  "discriminant": "1000454955454348617459600000000",
  "regulator": "23.88597145775194545960844304430979737622524752",
  "points": [
    [
      "-57279",
      "-1446261"
    ],
    [
      "62771",
      "-10141311"
    ],
    [
      "-53679",
      "-5010661"
    ],
    [
      "560571",
      "-418153911"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1600 via the rational 2-torsion point x=28793. 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 20:20:47",
  "updated_at": "2026-09-26 20:20:47"
}