{
  "id": 1192,
  "curve_key": "37601536:-149294898784",
  "ainvs": [
    "0",
    "1",
    "0",
    "-783365",
    "172533900"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6
  ],
  "naive_height": 52.327666375768715,
  "faltings_height": 2.3965599833636273,
  "conductor": "2899380",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "23",
    "191"
  ],
  "discriminant": "17867432910467250000",
  "regulator": "6.0653921506742468871880135820817622418024670",
  "points": [
    [
      "-935",
      "9405"
    ],
    [
      "-737",
      "18711"
    ],
    [
      "4609",
      "307395"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Found by a rational-parameter search of the Kubert-Tate family for torsion 6, at t=-45/23. In y^2+(1-c)xy-by=x^3-bx^2 the parameters are defined by c=t;b=t*(t+1); Converted to the global minimal model; PARI/GP ellrank returned bounds [3,3]. The 3 supplied points and the torsion subgroup are independently certified by the site.",
  "created_at": "2026-09-23 21:43:26",
  "updated_at": "2026-09-23 21:43:26"
}