{
  "id": 1227,
  "curve_key": "128216643856329:-1312664178854034550917",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2671180080340",
    "1519287911839041556"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 97.45422743778224,
  "faltings_height": 6.0928900953846235,
  "conductor": "22264540822862075051759146026785848030",
  "bad_primes": [
    "2",
    "5",
    "48311",
    "46085862066324594919912951557173"
  ],
  "discriminant": "222645408228620750517591460267858480300",
  "regulator": "427016017903.68140004535569283876590549010993209418800454645926927076",
  "points": [
    [
      "1345643",
      "-601889654"
    ],
    [
      "665977",
      "188666415"
    ],
    [
      "1175928",
      "64623206"
    ],
    [
      "-581855",
      "-1695744769"
    ],
    [
      "1492778",
      "925694766"
    ],
    [
      "662653",
      "200165516"
    ],
    [
      "-1853939",
      "316102167"
    ],
    [
      "-1845382",
      "-404422904"
    ],
    [
      "520103",
      "-520539309"
    ],
    [
      "651678",
      "-235476134"
    ],
    [
      "303398",
      "858210136"
    ],
    [
      "2899298",
      "4258365766"
    ],
    [
      "530893",
      "-501072489"
    ],
    [
      "480648",
      "-588824114"
    ],
    [
      "2315130",
      "-2783935106"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:35:50",
  "updated_at": "2026-09-24 14:35:50"
}