{
  "id": 3560,
  "curve_key": "981864969879729679520817730216650370501696:-965365846566004683057346787260897466130269969799313751780333440",
  "ainvs": [
    "0",
    "1",
    "0",
    "-20455520205827701656683702712846882718785",
    "1117321581673616531309555089631503574135584564141219733283939"
  ],
  "rank_lower_bound": 27,
  "torsion": [],
  "naive_height": 290.0708172613602,
  "faltings_height": 22.026862477210024,
  "conductor": "447150730383917921426051671944550064682725516683851096390502869690505599723716416631723027726161758739752",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "29",
    "31",
    "53",
    "61",
    "317321",
    "223758923",
    "844098058598893011473765759",
    "898790071554039697918247235279344488957712631299957383"
  ],
  "discriminant": "8474748633768142725566279039220260724922260978390640711758753640679199715224562749436523395123920421215281425127999814912",
  "regulator": "183711703967819979223061518262.33740741078655236716685530364614343013604305451895934516567761",
  "points": [
    [
      "-255462109720345288034346/24025",
      "-4300433234944353961210995137281264017/3723875"
    ],
    [
      "76125410097997761513",
      "35908373696825237807743499790"
    ],
    [
      "214326390214696419470583/2809",
      "-4106055643022386082129332356835758/148877"
    ],
    [
      "390867767275097102763",
      "7268958795102310314297047064210"
    ],
    [
      "556160372374280202615",
      "-12718850631000105163929578878458"
    ],
    [
      "8695954980305669269240155/2209",
      "-25626723730872401673239513070137838066/103823"
    ],
    [
      "1031425198891510433895",
      "32822069440769901940978544929542"
    ],
    [
      "-21257319919612470909",
      "1241992550728947778301937343566"
    ],
    [
      "497151494841248905753359/25",
      "-350527360581234700846861726780770798/125"
    ],
    [
      "14948047387846140263361/169",
      "7194628784922523062327607052214/2197"
    ],
    [
      "254403662702667941901/4",
      "2170380003375391100608770860979/8"
    ],
    [
      "4209836154203890677524511/42025",
      "2334760136986489063757546353795378434/8615125"
    ],
    [
      "128602558944003762542475/961",
      "-26250552652759769716400434071468078/29791"
    ],
    [
      "818523121320431263206",
      "23081772204936430287859935456309"
    ],
    [
      "89591144496040746009",
      "-61627851189356005751594667678"
    ],
    [
      "95039739742220324169",
      "178004687266441509170022872238"
    ],
    [
      "69006814168519294461019/729",
      "3363523140771945866965521733124822/19683"
    ],
    [
      "89025400437698908881",
      "42819003601766500590032762934"
    ],
    [
      "14952753595418284208079/169",
      "21400258686235973936512564421502/2197"
    ],
    [
      "10703674316160662472815/121",
      "8553818067500831927878078884402/1331"
    ],
    [
      "89462805514311804399",
      "57769289575534754815830662682"
    ],
    [
      "8742235910410102626804543/94249",
      "3881550648223726972992524875404038658/28934443"
    ],
    [
      "500576053205903350756798161/3385600",
      "7171020350872355425946012446280649123609/6229504000"
    ],
    [
      "737117877189602464640285449/8105409",
      "2211506172594219994445138407403831343982/23076099423"
    ],
    [
      "193728222329524117642047135/1666681",
      "1198190474357863339027266949365178631118/2151685171"
    ],
    [
      "111670069722271409151",
      "474974543420822773356281106534"
    ],
    [
      "56774216180819348763",
      "372795448357599207627199598610"
    ]
  ],
  "submitter": "FNacc",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-28 14:09:19",
  "updated_at": "2026-09-28 14:09:19"
}