{
  "id": 2746,
  "curve_key": "-47938968375841423013156818507096336165919:-1074093541437077742088451158937552065560601591222279307045021521",
  "ainvs": [
    "1",
    "0",
    "0",
    "998728507830029646107433718897840336790",
    "1243163821107728868158012809479300726498983016724583277256100"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 290.26867589445806,
  "faltings_height": 22.246758397996466,
  "conductor": "130572366625335476548016310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "29",
    "31",
    "41",
    "71",
    "107",
    "139",
    "19139",
    "307201"
  ],
  "discriminant": "-667700871783801874721052941269667033361457179551755063346361335409848824577857143348141911278626383591709019916910000000000",
  "regulator": "3531653.887524334874223740200316821836315134412",
  "points": [
    [
      "1973363274330295729882070/17161",
      "3814165158023360504669789181087271840/2248091"
    ],
    [
      "207599997201532638069390943129971236/418177346878225",
      "95258918573915288903291132411895798505965025756539286/8551469564591371141625"
    ],
    [
      "43172187068554287878855271247034919323312902170230/3937426871643394829738235649",
      "283666522106199648130785059642478944336860202288258513748700987232930426320/247069280965865753800943971650286847435393"
    ],
    [
      "-5078207909635260004925865880/49126081",
      "-64738254149283108365690160230273524079290/344324701729"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-010, rational kernel x=52214884248122398068. 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 20:20:28",
  "updated_at": "2026-09-26 20:20:28"
}