{
  "id": 4102,
  "curve_key": "9711099544384:-327336069365646848",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-202314573841",
    "378928629586705"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 89.71287189051411,
  "faltings_height": 5.54430596175615,
  "conductor": "72795633914304960",
  "bad_primes": [
    "2",
    "3",
    "5",
    "23",
    "31",
    "41",
    "73",
    "79",
    "223",
    "2017"
  ],
  "discriminant": "529920431698550647243291988060160000",
  "regulator": "21961.45647088260564827104331927128809425006391716534",
  "points": [
    [
      "-47327",
      "99236400"
    ],
    [
      "-105077",
      "143099100"
    ],
    [
      "2675623",
      "4314363000"
    ],
    [
      "-8295",
      "45349280"
    ],
    [
      "549705",
      "235101520"
    ],
    [
      "3147601",
      "5527031808"
    ],
    [
      "462557553/361",
      "9316147838000/6859"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-09 14:52:12",
  "updated_at": "2026-10-09 14:52:12"
}