{
  "id": 4105,
  "curve_key": "199453379404566217:-89076634970934163486578949",
  "ainvs": [
    "1",
    "0",
    "1",
    "-4155278737595130",
    "103097956796011683309872"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    3
  ],
  "naive_height": 119.50307859634557,
  "faltings_height": 7.561930047737036,
  "conductor": "3238520594181825716854",
  "bad_primes": [
    "2",
    "23",
    "31",
    "61",
    "103",
    "163",
    "241",
    "313",
    "587",
    "821"
  ],
  "discriminant": "-36027823431187395228166347361196824957765396",
  "regulator": "4367599.8210589265750618629387164969591351209971734391106",
  "points": [
    [
      "-22314100",
      "-429766281317"
    ],
    [
      "33440831",
      "39207028301"
    ],
    [
      "142879003/9",
      "5475672119839/27"
    ],
    [
      "151683291/4",
      "-60064685377/8"
    ],
    [
      "25878600",
      "-113573976617"
    ],
    [
      "716280181/9",
      "14196366807133/27"
    ],
    [
      "-26217673",
      "440488476157"
    ],
    [
      "96377870",
      "773156551828"
    ],
    [
      "19685231839/484",
      "-394987024183889/10648"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-09 14:52:43",
  "updated_at": "2026-10-09 14:52:43"
}