{
  "id": 1621,
  "curve_key": "157834826951370809197748685129:-62687815600933812968348729709306429542820933",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-3288225561486891858286430940",
    "72555342130711253732719919997624790986000"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 201.69403979404063,
  "faltings_height": 14.536646832611648,
  "conductor": "5947350746830783290",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "31",
    "41",
    "67",
    "97",
    "109",
    "227"
  ],
  "discriminant": "1268844011324778633871750984171060847802453604854886181080680882752923107038990400",
  "regulator": "2966.381820721331656257413156152455451609583227",
  "points": [
    [
      "33624505835152",
      "2548987483370127684"
    ],
    [
      "143911788900560369280/5555449",
      "903251296040227937853366351060/13094193293"
    ],
    [
      "368153140522448565/11449",
      "10157331995479690746309945/1225043"
    ],
    [
      "5993099699979714845440/129208689",
      "206799440667021144947594927351620/1468715167863"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:44:15",
  "updated_at": "2026-09-25 01:44:15"
}