{
  "id": 2098,
  "curve_key": "3824314000338302304086003870788321:-233074162907950559845309921577717820489983729852881",
  "ainvs": [
    "1",
    "0",
    "0",
    "-79673208340381298001791747308090",
    "269761762624942770959304306794287458751131856100"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    4
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  "naive_height": 231.98006152104224,
  "faltings_height": 17.213183013515305,
  "conductor": "59581557002530875732300241072530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "31",
    "107",
    "163",
    "563",
    "887",
    "1621",
    "1823",
    "6701",
    "9341"
  ],
  "discriminant": "930828008170018151022620195244443848669512838740553700742750983482913972193981551876505600000000",
  "regulator": "203367184191.95135492731657200855887559120525415013388617",
  "points": [
    [
      "17415081792057380",
      "2040583410243406920281510"
    ],
    [
      "11700078090204313604/1849",
      "10952613966108312556066012754/79507"
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    [
      "606026878748141492820980/82101721",
      "215403188408236385813331918080521310/743923693981"
    ],
    [
      "898227131547434034334580/155475961",
      "92877598415443382508547723321460990/1938629757709"
    ],
    [
      "2041912011354518556920/284089",
      "39608229836276796520250159787070/151419437"
    ],
    [
      "51260605472744139220/3249",
      "317545353310659214761852432230/185193"
    ],
    [
      "2381810486294106680/361",
      "1213541614089073161021665990/6859"
    ],
    [
      "185627032139306751284/29929",
      "616910163450448641589503227374/5177717"
    ],
    [
      "3256694035842060457579319129/8421365824",
      "185802150065570819052582867951487672067519/772811898936832"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1827 (Klagsbrun (2020)). Isogenous to curve#2033, curve#2099 (also ours).",
  "created_at": "2026-09-26 06:56:20",
  "updated_at": "2026-09-26 06:56:20"
}