{
  "id": 6028,
  "curve_key": "293056:28002304",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-6105",
    "-30375"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    2,
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 37.7643569880503,
  "faltings_height": 1.2133498576122619,
  "conductor": "3756480",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "43"
  ],
  "discriminant": "14111141990400",
  "regulator": "7.8023802661129957078509706399187108326385758",
  "points": [
    [
      "-48",
      "387"
    ],
    [
      "167",
      "1892"
    ],
    [
      "597",
      "14448"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Obtained in a bounded search using the divisor-square method described by jesper-petersen on curves #1249, #3756 and #3757, following Thomas J. Kretschmer, Construction of Elliptic Curves with Large Rank (Math. Comp. 46 (1986), 627–635).\r\n\r\nThe source model is y^2 = x^3 - 226*x^2 + 10920*x. For a divisor pair b1*b2 = 10920 with b1 - 226 + b2 = s^2, the construction supplies (b1,b1*s). The substitution x = X + 75 gives the submitted minimal model. PARI/GP 2.17.4 returned rank bounds [3,3] and torsion Z/2Z x Z/2Z. The three listed points were checked exactly. This is an application of the cited method, not a claim of a new method or previously unknown curve.",
  "created_at": "2026-10-28 13:24:43",
  "updated_at": "2026-10-28 13:24:43"
}