{
  "id": 2770,
  "curve_key": "7588749349271348121495545534387238651601:-628122297753865416867769657142505792749693719020350070493849",
  "ainvs": [
    "1",
    "0",
    "0",
    "-158098944776486419197823865299734138575",
    "726993400178084973213410339257637465934549074905982884857"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 275.4824562854435,
  "faltings_height": 20.896208415562977,
  "conductor": "17569174278352986897510210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "23",
    "61",
    "79",
    "149",
    "181",
    "709",
    "10711",
    "19709"
  ],
  "discriminant": "24590133588484883435830195931615233102387382301039546537447629224508071181981490779953216952248411807817259417600000",
  "regulator": "179087.4451211278996846883999466263160349637546",
  "points": [
    [
      "1958323208465614043014/841",
      "-470066390674717372678248369191503/24389"
    ],
    [
      "-999764275458691344759098/243049",
      "4333096796137033178932316224287842257/119823157"
    ],
    [
      "5315039329312426809387679/948676",
      "-3819845937531111538650708226983657073/924010424"
    ],
    [
      "-51943843947723995507684/5329",
      "-14250612788097319282264523302979009/389017"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-003, rational kernel x=115502981116810136015/4. Source: https://dujella.github.io/tors/z10.html. Independent witness points transported by 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 20:21:38",
  "updated_at": "2026-09-26 20:21:38"
}