{
  "id": 2737,
  "curve_key": "5528283031130759349063641027354751701990401:-12913430949197698230047113643584362280720034052852055233437145601",
  "ainvs": [
    "1",
    "0",
    "0",
    "-115172563148557486438825854736557327124800",
    "14946100635645484062544931966478780256593100221424795261440000"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 295.25535357137386,
  "faltings_height": 22.451548654593935,
  "conductor": "198635898246511938552934230",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "29",
    "43",
    "73",
    "89",
    "251",
    "401",
    "23059",
    "203659"
  ],
  "discriminant": "1272110915731690745347242481638837401450973515569524124338954055968158220987309997804049075262048906188654859903408537600000",
  "regulator": "8334825.648313526817406328337738842055002508491",
  "points": [
    [
      "140342086040428584675412608/418609",
      "1013966543470775203396991234663843724096/270840023"
    ],
    [
      "4425926650616177303086321815900800/18803159460121",
      "-76392275099587711515891159367569111208042997032000/81535407043703747581"
    ],
    [
      "-2152149259851267298975951235495723247237484928/27685083517982056550547801",
      "-705098987456847947941186490177264401080807904054673294914019668982848/145669542746889035913527501875435636701"
    ],
    [
      "1838798187659289542681484337122555682877874592180248898701962961671848337086263936/2615436572771090054258094004448468304141400719211811235996481",
      "-70964978023335271703983015484762014467750085211958053012866787750470416177802948640232348206573656878998259106512863224128/4229765480357025640060547676956946311445560394508305311739193695401794624473430631510289121"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-012, rational kernel x=3132697862812686052351/4. 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 20:20:03",
  "updated_at": "2026-09-26 20:20:03"
}