{
  "id": 3460,
  "curve_key": "180042889936:-75444860766553280",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3750893540",
    "87321690999876"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 77.74938281062586,
  "faltings_height": 4.353846041961071,
  "conductor": "28049021634623498384808552",
  "bad_primes": [
    "2",
    "3",
    "31",
    "2069",
    "924643",
    "19706532097199"
  ],
  "discriminant": "83473888384639531193190250752",
  "regulator": "33384715.063259110868918166641917959191312862522146092849772486",
  "points": [
    [
      "28256",
      "1973646"
    ],
    [
      "29000",
      "1712874"
    ],
    [
      "30178",
      "1268768"
    ],
    [
      "15484",
      "5740642"
    ],
    [
      "30705",
      "1047924"
    ],
    [
      "39509",
      "893358"
    ],
    [
      "39602",
      "-941160"
    ],
    [
      "-31822",
      "13208232"
    ],
    [
      "32033",
      "194352"
    ],
    [
      "51320",
      "5476026"
    ],
    [
      "40268",
      "1254642"
    ],
    [
      "-11982",
      "11425608"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:40:06",
  "updated_at": "2026-09-27 05:40:06"
}