{
  "id": 2790,
  "curve_key": "26953:-25305605",
  "ainvs": [
    "1",
    "1",
    "0",
    "-561",
    "29055"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 34.093072941326064,
  "faltings_height": 0.8983451663825525,
  "conductor": "6399618",
  "bad_primes": [
    "2",
    "3",
    "19",
    "73",
    "769"
  ],
  "discriminant": "-359255355666",
  "regulator": "40.46250522420685580279038318269407371615414759",
  "points": [
    [
      "5",
      "160"
    ],
    [
      "53",
      "363"
    ],
    [
      "-17",
      "193"
    ],
    [
      "-19",
      "-173"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1585 via the rational 2-torsion point x=18. 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 20:22:34",
  "updated_at": "2026-09-26 20:22:34"
}