{
  "id": 3670,
  "curve_key": "10965814746873373458721:-1148315781968314484399270155734481",
  "ainvs": [
    "1",
    "0",
    "0",
    "-228454473893195280390",
    "1329069192073918706341388999475"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    4
  ],
  "naive_height": 152.2472089089144,
  "faltings_height": 10.18998790627467,
  "conductor": "17261904761372158878705",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "19",
    "43",
    "71",
    "151",
    "163",
    "337",
    "739",
    "1741"
  ],
  "discriminant": "82689873973912076822261851698845658130683916014781640625",
  "regulator": "5361328.48060811591303773371689646505187299500890508506",
  "points": [
    [
      "8721670755",
      "726343612185"
    ],
    [
      "95241484965/16",
      "27159731366842965/64"
    ],
    [
      "138245827125/16",
      "889862391103485/64"
    ],
    [
      "349252042905/64",
      "253367491715495265/512"
    ],
    [
      "424592674230/49",
      "3396701932025835/343"
    ],
    [
      "429420245745/49",
      "2062217613341955/343"
    ],
    [
      "17569412239830/841",
      "58095097820577529965/24389"
    ],
    [
      "2970570585278505/341056",
      "530017744171057259865/199176704"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Specialization at t = 19/302 of the Elkies-Klagsbrun Z/4 fibration E2: y^2 + a*xy + a*c*y = x^3 + c*x^2, a = -8(80t+9), c = 2(t-2)(2t-1)(18t-1)(2t-81) (arXiv:2003.00077, eq. (6)), found by searching small-height t = a/b for small conductor, with points from a 2-descent (PARI ellrank).",
  "created_at": "2026-09-29 19:30:18",
  "updated_at": "2026-09-29 19:30:18"
}