{
  "id": 4240,
  "curve_key": "1812426860496:-2440321460250275520",
  "ainvs": [
    "0",
    "0",
    "0",
    "-37758892927",
    "2824446134548930"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "naive_height": 84.6773229010488,
  "faltings_height": 4.760271734253401,
  "conductor": "27921029408976004366433952184",
  "bad_primes": [
    "2",
    "26863597",
    "129920377979240849459"
  ],
  "discriminant": "-893472941087232139725886469888",
  "regulator": "772337176.7878516259259592001954246619151522945094951583372393481",
  "points": [
    [
      "111003",
      "-915224"
    ],
    [
      "103265",
      "5143630"
    ],
    [
      "107409",
      "2818846"
    ],
    [
      "118187",
      "-3562528"
    ],
    [
      "1015201/9",
      "-18942578/27"
    ],
    [
      "91711",
      "11528792"
    ],
    [
      "81617",
      "-16922078"
    ],
    [
      "49215",
      "32944600"
    ],
    [
      "110693",
      "-1056274"
    ],
    [
      "112173",
      "-605174"
    ],
    [
      "112283",
      "-607576"
    ],
    [
      "193933",
      "52873174"
    ],
    [
      "455809/4",
      "9527831/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-15 17:34:11",
  "updated_at": "2026-10-15 17:34:11"
}