{
  "id": 2805,
  "curve_key": "5423530336573421577262530640425949356001:-389386701338437257547686750683467421470945675434258836748625",
  "ainvs": [
    "1",
    "0",
    "0",
    "-112990215345279616192969388342207278250",
    "450679052475043122152258628678943621649365601242615639716"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    10
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  "naive_height": 274.4746967513759,
  "faltings_height": 20.779512975552226,
  "conductor": "6284587191562249335065454",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "19",
    "41",
    "61",
    "179",
    "337",
    "649849",
    "7302509"
  ],
  "discriminant": "4577206745132870014617559346625835314604136095834008860028712842956001441249814287515213966049398706773798018875392",
  "regulator": "723119.6269918372020379977887055386031757416926",
  "points": [
    [
      "6696939383407955213350/961",
      "38890862058136309460245936458886/29791"
    ],
    [
      "-19899650118231499878584462/5583769",
      "-375078398943804846695701003020808811092/13194446147"
    ],
    [
      "-783182741540466218088295340/96609241",
      "-27421032732829902302805535229052268364114/949572229789"
    ],
    [
      "2392646277865369447057271336404/457967553289",
      "533825670332370617931227995532001114296175902/309921756239924837"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella (2008). Source: https://dujella.github.io/tors/z10.html (curve entry 6). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:23:14",
  "updated_at": "2026-09-26 20:23:14"
}