{
  "id": 2754,
  "curve_key": "2207702205020195577012733733475833858752321:-3513132254494242814068642568507081939071514788522704799097222369",
  "ainvs": [
    "1",
    "0",
    "0",
    "-45993795937920741187765286114079872057340",
    "4066125294553521775538577563888369960307865379539920194802192"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 292.6387377567319,
  "faltings_height": 22.33898407185004,
  "conductor": "37726797710029395854920110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "41",
    "101",
    "113",
    "149",
    "541",
    "887",
    "4391",
    "5851"
  ],
  "discriminant": "-915434158332696517267362167614137498678017349151859582227108000488958795888095204992928847078459696123735814195154124800000",
  "regulator": "16415492.79722560201353591284197609953813316236",
  "points": [
    [
      "108354933688220816016740291078988826061436156/733889661283721852836369",
      "441834392501275406612080894569602914503686933307467174823315094164/628703899996584691744804782804268153"
    ],
    [
      "22625977420416732488171663201376/503953750609",
      "-517404303736481213293916902916573419689090432516/357755255696077273"
    ],
    [
      "-53628503361736560463732592763647265564397704/2428264468593304481108929",
      "-8521114804269786326565585562751245366472600313232602909355336251204/3783937702255046630079018008088271967"
    ],
    [
      "3119464771235694212871120454386737362285886416061937478252210519528157283239770452459437368587985358231585682243101549321598614500576769531360904/24458061934941303129386730268342672434690963540466223523658155677152766347410177468778290722206850668401897369569253695643121",
      "2004794258821380964975304459403535047986994139234786495522360111635806945654527039917435098245792444408462433446221310320689805850792179838334760886047744925431655344448846323196836130441203234774979700962526094674772/3825014278075369745554505633993738864559251907807942590601516676365897359751442889676485369323320429510618681908025141040335084771374979636512153329063076356809649838928997903942949764169"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-011, rational kernel x=1996576092274320591935/4. 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 20:20:51",
  "updated_at": "2026-09-26 20:20:51"
}