{
  "id": 4311,
  "curve_key": "128038833:-37189339785",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-2667476",
    "43710086"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 56.0035324760554,
  "faltings_height": 2.7351614153318855,
  "conductor": "224236676260701",
  "bad_primes": [
    "3",
    "13",
    "23",
    "61",
    "127",
    "757",
    "1093"
  ],
  "discriminant": "1213934173468542493929",
  "regulator": "12642.34511235206696482051961964058117327478624803982",
  "points": [
    [
      "-1628",
      "9153"
    ],
    [
      "-1514",
      "25458"
    ],
    [
      "-1290",
      "37207"
    ],
    [
      "10",
      "4122"
    ],
    [
      "1788",
      "30538"
    ],
    [
      "3312",
      "164269"
    ],
    [
      "4963",
      "327718"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve 2-7.ec from Layr Labs / Yukon Elliptic Rank Challenge with conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 09:49:42",
  "updated_at": "2026-10-17 09:49:42"
}