{
  "id": 2837,
  "curve_key": "28030802553:-57391796576205",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-583975053",
    "66571684245"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 72.1697095009299,
  "faltings_height": 4.082373784955859,
  "conductor": "37109896434",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23",
    "107",
    "4957"
  ],
  "discriminant": "12743769394987224789362163984",
  "regulator": "962.136792571441803944292397587115229840318281551",
  "points": [
    [
      "-232229/25",
      "-270112896/125"
    ],
    [
      "1369923/49",
      "-815893077/343"
    ],
    [
      "25421478/289",
      "123032546031/4913"
    ],
    [
      "233542",
      "-112372993"
    ],
    [
      "45688686/1849",
      "-68612491839/79507"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1700 via the rational 2-torsion point x=193779/4. 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 20:24:41",
  "updated_at": "2026-09-26 20:24:41"
}