{
  "id": 2741,
  "curve_key": "787201237808380050448879737191422260110980081:22085379653635906141982662066122801608511491042984504836600766199479",
  "ainvs": [
    "1",
    "0",
    "0",
    "-16400025787674584384351661191487963752312085",
    "-25561782006523039516185003319420734002994403197442467557859875775"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
  ],
  "naive_height": 310.1311734717177,
  "faltings_height": 23.521402103369933,
  "conductor": "145604394817456968019313610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "29",
    "47",
    "67",
    "103",
    "281",
    "1601",
    "4639",
    "9941"
  ],
  "discriminant": "30917567091387480737857713044595196987127245843339613487891696172504140466966573303001185096871124019617496612966918945312500000",
  "regulator": "6893292.193206142453126276958466258423278432124",
  "points": [
    [
      "560800305298961112242967263264308598619934470/110938726655373994125841",
      "5317508408962916894864354493967670638396096962480036599091378444885/36950878248768628381659856146805639"
    ],
    [
      "-2107528900578169337142897396849771314520/896894692288929049",
      "-560701051282223037158350977777240128119395740283828101445/849399851804179037419963907"
    ],
    [
      "-2887559979329970478190882138132026080/1227597605593921",
      "-648763997038520150451322090131852499051109117680065/43011446563381107935969"
    ],
    [
      "-479729120746750991858205231239493993505893410881009573680/205412986298907122030093349843878041",
      "108188300450679158661255825766767169249658535695661808322078887591016956908951528765/93098320130106531230382738329689024717127165572457411"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous image of D-z10-017, rational kernel x=1176102565155133244818. 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 20:20:13",
  "updated_at": "2026-09-26 20:20:13"
}