{
  "id": 3803,
  "curve_key": "4996353164761:-11166090703592316445",
  "ainvs": [
    "1",
    "0",
    "1",
    "-104090690933",
    "12923707417896492"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "naive_height": 87.71918818559189,
  "faltings_height": 5.024465258981333,
  "conductor": "32385292333257670247550849142",
  "bad_primes": [
    "2",
    "13",
    "31",
    "98110447",
    "409541131137302231"
  ],
  "discriminant": "26102545620605682219525984408452",
  "regulator": "89307876842798.75117822634301849541540204173634718293390619734043",
  "points": [
    [
      "-86683",
      "145972336"
    ],
    [
      "2445",
      "112556408"
    ],
    [
      "180278",
      "4095230"
    ],
    [
      "4527621",
      "9607884048"
    ],
    [
      "12817210",
      "45866254826"
    ],
    [
      "-1354461126/3721",
      "11576899061607/226981"
    ],
    [
      "30811719/169",
      "5328692760/2197"
    ],
    [
      "275225111/2116",
      "3869136851755/97336"
    ],
    [
      "97838327/1369",
      "3872293210480/50653"
    ],
    [
      "1671129286/2209",
      "62868685895794/103823"
    ],
    [
      "6683485506/32041",
      "96597085537542/5735339"
    ],
    [
      "75042701287/21609",
      "20465902878760928/3176523"
    ],
    [
      "13286908255116/70274689",
      "791048241025223421/589112717887"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-10-02 09:36:41",
  "updated_at": "2026-10-02 09:36:41"
}