{
  "id": 2089,
  "curve_key": "3474512286474487753249:204787014487528875479464177060687",
  "ainvs": [
    "1",
    "1",
    "1",
    "-72385672634885161526",
    "-237022007538874673180581985197"
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  "rank_lower_bound": 10,
  "torsion": [
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  "naive_height": 148.7992232184776,
  "faltings_height": 10.09170614976475,
  "conductor": "274041685980626458099814310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "41",
    "83",
    "101",
    "157",
    "163",
    "313",
    "389",
    "409",
    "613",
    "2617"
  ],
  "discriminant": "4288029503079978793028476596063242015889659296532227649760",
  "regulator": "14476581915.47603780881857213181004219961152466385778786441",
  "points": [
    [
      "-4100061204731/841",
      "24018626938158583/24389"
    ],
    [
      "-4147974505933/841",
      "-94304009082476593/24389"
    ],
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      "17804635907",
      "2029359747480419"
    ],
    [
      "-65192469505139/13225",
      "6175752331839207821/1520875"
    ],
    [
      "993689520666539/45796",
      "-28417847862697516446433/9800344"
    ],
    [
      "23661824387",
      "-3361265897899751"
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    [
      "4507027383059",
      "-9568296462629070007"
    ],
    [
      "373285565557231/16129",
      "6632520316360115475581/2048383"
    ],
    [
      "22740286219373/289",
      "-107778986311066174453/4913"
    ],
    [
      "26298865996297/256",
      "-134389045719779404621/4096"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1203 (NDElkies); 4-isogenous partner of curve#1374 (jesper-petersen). Isogenous to curve#2090 (also ours).",
  "created_at": "2026-09-26 06:54:19",
  "updated_at": "2026-09-26 06:54:19"
}