{
  "id": 1993,
  "curve_key": "9696242701310047836648660517890365744755900510442991845025:-665659435982840718167279915077815561102483518486921613672239102394614898908746916768625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-202005056277292663263513760789382619682414593967562330105",
    "770439162017176757138055457316491496826827238138704381947622393803259781488125439897"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2,
    2
  ],
  "naive_height": 400.55726628225,
  "faltings_height": 31.408615816683973,
  "conductor": "2409091324418488847528892674329981342840728238071834873259259850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "43",
    "71",
    "89",
    "101",
    "113",
    "137",
    "197",
    "271",
    "397",
    "401",
    "563",
    "1087",
    "2311",
    "1576391",
    "2205527",
    "110976062006309"
  ],
  "discriminant": "271128676704855300311661589188149357102613242281876033228218091040713737478453512094760343251630095347678480785689680971460317390297980980541322614275894941530521600000000",
  "regulator": "19826492873191176254.89433759699753933562713329180496063416224436",
  "points": [
    [
      "241349050797723392459471957719/625",
      "-13002504825536993731249778298130218994204448628/15625"
    ],
    [
      "622100673751537501665357406719/361",
      "-4484376877230022196197352715621333579221547260/6859"
    ],
    [
      "72366418504725481107292207492991829/1957201",
      "-18131578093188408711172647221776213657614140433151610/2738124199"
    ],
    [
      "-375665827895487194143325721",
      "919930727257481877579179124831313296734860"
    ],
    [
      "-1026489066569083200952712838104151/67081",
      "-9167509567486197963079952246692341634167435180560/17373979"
    ],
    [
      "3531231290522043364603588279",
      "318033973764513293402697072335535999334860"
    ],
    [
      "-43998340706298335285554237815536727851/4510331281",
      "-407827952953142533452937797969698314142963393261727810810/302909338500679"
    ],
    [
      "7804850931369738943732163897569/4761",
      "-218820463985954979125373614909415503203413655760/328509"
    ],
    [
      "7078740719627843518861071881635423519/128391561",
      "-18241832726368811592326724332849748577859725450214759740/1454804777691"
    ],
    [
      "20671961680639831055219397327843069877/6520078009",
      "211805189094943268073595485108798397587500308475163990000/526476738992723"
    ],
    [
      "2456334173678204910275565027827097390519/1778224561",
      "121732978743693990457666704608476477587844404227076982661740/74985951512809"
    ],
    [
      "139476596216343630566869560986306289996879/10141352333401",
      "-24883734505023473610673278874600583650943339891010840299277860/32295633431979821149"
    ],
    [
      "108983958313986754119959985839283801129633/33237300721",
      "35978229777262589463229541978665951841172735329063083027728880/6059525531746231"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "New curve, 2-isogenous partner of curve#1918; the 13 witness points are transported through the rational isogeny and certified independent by the exact 2-descent character test.",
  "created_at": "2026-09-26 04:30:04",
  "updated_at": "2026-09-26 04:30:04"
}