{
  "id": 3548,
  "curve_key": "4805333204909576378641:-713844635112701603735211701188345",
  "ainvs": [
    "1",
    "0",
    "0",
    "-100111108435616174555",
    "826209068409136115657230713681"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2
  ],
  "naive_height": 151.29643626120347,
  "faltings_height": 10.655467401793382,
  "conductor": "589032177631665151529373868401860082",
  "bad_primes": [
    "2",
    "3",
    "17",
    "59",
    "157",
    "257",
    "307",
    "593",
    "619",
    "827",
    "1543",
    "1723",
    "3779"
  ],
  "discriminant": "-230678890175850163494897373947822006554841501765549295673415168",
  "regulator": "7924209813646122.725333010959841880320666942846401699418973847465",
  "points": [
    [
      "-6923545130",
      "1089704983380481"
    ],
    [
      "-75734573660904290/8743849",
      "26412373832897842852693877/25855561493"
    ],
    [
      "-37987561673914250/3644281",
      "5972975019530810857743661/6956932429"
    ],
    [
      "-209392122207626/18769",
      "1914832759591695265793/2571353"
    ],
    [
      "-27170162822276/3721",
      "245297134894381095205/226981"
    ],
    [
      "324396657982/121",
      "1011106619316251459/1331"
    ],
    [
      "27011913353783934/444889",
      "4387084264249059241457523/296740963"
    ],
    [
      "310744747367841730/380689",
      "173210077164481318041739037/234885113"
    ],
    [
      "9566981515046105323/679853476",
      "26316774319426753021958885671/17726499533224"
    ],
    [
      "5138353743499418566/632975281",
      "11793890983774828908041452639/15925025094679"
    ],
    [
      "9012035800673747554/265722601",
      "26148097401636145936899844025/4331544118901"
    ],
    [
      "34527501970803266303734/4392197403049",
      "6669713424560858920876488193581389/9204978452821763093"
    ],
    [
      "3905840612654955316657492/355350813264001",
      "6876282893271163078768337445419214629/6698629698487180114751"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#3547 (Fermigier 2-torsion construction; Dujella, Proc. Japan Acad. 78 (2002)). Rank exactly 13 by 2-descent: 13 independent points, 2-Selmer upper bound 13. Torsion Z/2Z, root number -1.",
  "created_at": "2026-09-28 05:53:54",
  "updated_at": "2026-09-28 05:53:54"
}