{
  "id": 1225,
  "curve_key": "133700628200041:-782438881076013929525",
  "ainvs": [
    "1",
    "1",
    "0",
    "-2785429754167",
    "905599396205211145"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 97.57987289581386,
  "faltings_height": 6.182125500812814,
  "conductor": "15588198294282902850412499840899939902",
  "bad_primes": [
    "2",
    "3",
    "11",
    "2719",
    "7771063",
    "11177954791249279216330151"
  ],
  "discriminant": "1028821087422671588127224989499396033532",
  "regulator": "314302644778.50811826244261888794980003490000169785060287870985354829",
  "points": [
    [
      "1907988",
      "-1593722545"
    ],
    [
      "331985",
      "-132332725"
    ],
    [
      "-1722314",
      "771558835"
    ],
    [
      "4545766",
      "-9067446341"
    ],
    [
      "1594136",
      "717797435"
    ],
    [
      "339014",
      "16044779"
    ],
    [
      "9030796",
      "26683686439"
    ],
    [
      "315848",
      "239291627"
    ],
    [
      "3251293",
      "5118772540"
    ],
    [
      "-1253753",
      "1558533232"
    ],
    [
      "-1765946",
      "564180367"
    ],
    [
      "336187",
      "-84848024"
    ],
    [
      "-17463",
      "-976841324"
    ],
    [
      "-1752167",
      "638710195"
    ],
    [
      "3210531",
      "5003939845"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:35:30",
  "updated_at": "2026-09-24 14:35:30"
}