{
  "id": 782,
  "curve_key": "6645979056:-589089874388760",
  "ainvs": [
    "0",
    "0",
    "1",
    "-138457897",
    "681816984246"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "naive_height": 68.01919975207224,
  "faltings_height": 3.630033943037537,
  "conductor": "43407145415402227336531",
  "bad_primes": [
    "23",
    "31",
    "992689",
    "61327955520683"
  ],
  "discriminant": "-30949294681181788090946603",
  "regulator": "4029623.86460364386722928270316373694553626444827884974384970",
  "points": [
    [
      "16942",
      "1788560"
    ],
    [
      "3798",
      "459063"
    ],
    [
      "-13717",
      "10338"
    ],
    [
      "6684",
      "234473"
    ],
    [
      "83553/16",
      "-20358321/64"
    ],
    [
      "-13004",
      "532254"
    ],
    [
      "3395",
      "-500883"
    ],
    [
      "20507",
      "2542914"
    ],
    [
      "39045",
      "-7402723"
    ],
    [
      "1256",
      "-714070"
    ],
    [
      "9161",
      "-426886"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:39:12",
  "updated_at": "2026-09-18 12:39:12"
}