{
  "id": 1691,
  "curve_key": "224703545463240496:-106843862232448802229640600",
  "ainvs": [
    "0",
    "1",
    "1",
    "-4681323863817510",
    "123661876023411492419210"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 119.86682153826288,
  "faltings_height": 7.804956956433308,
  "conductor": "24401110764753723",
  "bad_primes": [
    "3",
    "7",
    "11",
    "13",
    "17",
    "19",
    "37",
    "2741",
    "248051"
  ],
  "discriminant": "-40480690392648311900201583484887626539538709963",
  "regulator": "2807.1539868551541337388361425926372275923672740868",
  "points": [
    [
      "379452885/4",
      "5841936491387/8"
    ],
    [
      "139859208",
      "1484811570742"
    ],
    [
      "493176201/16",
      "5953070016589/64"
    ],
    [
      "4721991855/169",
      "266145899147608/2197"
    ],
    [
      "178446471",
      "-2229482603849"
    ],
    [
      "-14774781",
      "435433304659"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:10:48",
  "updated_at": "2026-09-25 06:10:48"
}