{
  "id": 37,
  "curve_key": "45940295474676084120366012471924765976612825:-303780890566643118628965272922788109652779510947207621432700068125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-957089489055751752507625259831765957846101",
    "351598252970651757672333752869879740192822872602430248013582348"
  ],
  "rank_lower_bound": 17,
  "naive_height": 301.60774960422583,
  "faltings_height": 23.0392845639364,
  "conductor": "14736232836353426730586889330999407111621750064300242106070930802493850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "23",
    "37",
    "41",
    "67",
    "79",
    "97",
    "101",
    "103",
    "151",
    "229",
    "389",
    "857",
    "977",
    "983",
    "1499",
    "1531",
    "11719",
    "12907",
    "49639",
    "938573",
    "4153367"
  ],
  "discriminant": "2705241843717540804757209194175752043961253605237251059078988771418272961322642530579319128322487000408815513923180322592562500",
  "regulator": "471391564634837735.979728668453443736342367256126191005605987032331435932",
  "points": [
    [
      "1037048102780198794447",
      "21779881979625846052436063081576"
    ],
    [
      "640151922319155456727",
      "1116379497785052017163204160436"
    ],
    [
      "8215515531545032362283/4",
      "671712937153262899818205610666563/8"
    ],
    [
      "-252494436924143857397/4",
      "162335292364600094400633862613143/8"
    ],
    [
      "3033356276097950346763/4",
      "62943339550041852920918618404183/8"
    ],
    [
      "-697039650804322492943",
      "26077977524885678965262644558346"
    ],
    [
      "11414518769372982291382",
      "1215170223607965741833261815562846"
    ],
    [
      "891674633090402503696",
      "14392420123651702644251835214211"
    ],
    [
      "94919125996596744048847",
      "29242036615099659730101568678875176"
    ],
    [
      "636565095929048595313",
      "542487929999796513742831489802"
    ],
    [
      "4202001410067480893647",
      "265563310660870839720550898955176"
    ],
    [
      "438987621400369262071",
      "4005643151170292277973367502092"
    ],
    [
      "-1055345243070301537073",
      "13647840402839172835783080260936"
    ],
    [
      "-1120995419674665243803",
      "3976668559063776088092945926576"
    ],
    [
      "476001270991734096802",
      "1968115763191782636541113312386"
    ],
    [
      "639949947842762264623",
      "1091505880400660592954070253744"
    ],
    [
      "45374293429909818890233/64",
      "2776529523851458968917039502401287/512"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Elkies (2005). A curve of rank exactly 17, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:15",
  "updated_at": "2026-07-01 22:36:41"
}