{
  "id": 3456,
  "curve_key": "21377553456:-5107827879474840",
  "ainvs": [
    "0",
    "0",
    "1",
    "-445365697",
    "5911837823466"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 72.3391012724951,
  "faltings_height": 4.0640336099461924,
  "conductor": "27639151875789191304731",
  "bad_primes": [
    "31",
    "73",
    "151",
    "29333",
    "2757444175039"
  ],
  "discriminant": "-9444657504931551928313544203",
  "regulator": "3172305.91288850279903802275433741832941522079390016606382748",
  "points": [
    [
      "-2820",
      "2673077"
    ],
    [
      "653",
      "2370926"
    ],
    [
      "19226",
      "2110904"
    ],
    [
      "-21946",
      "2261868"
    ],
    [
      "11999",
      "1515078"
    ],
    [
      "7473",
      "1732326"
    ],
    [
      "-25923",
      "191694"
    ],
    [
      "206617",
      "93458505"
    ],
    [
      "-2233071/100",
      "2172952467/1000"
    ],
    [
      "1064869/25",
      "1001731597/125"
    ],
    [
      "30103",
      "4447926"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:38:02",
  "updated_at": "2026-09-27 05:38:02"
}