Pallas曲线和Vesta曲线统称为Pasta曲线，命名源于太阳系中的两颗行星。

Pallas：$y^2=x^3+5$

​ base filed: ox40000000000000000000000000000000224698fc094cf91b992d30ed00000001

​ scalar field: ox40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001

​ generator: (-1.2)

Vesta: $y^2=x^3+5$

​ base filed: ox40000000000000000000000000000000224698fc0994a8dd8c46eb2100000001

​ scalar field: ox40000000000000000000000000000000224698fc094cf91b992d30ed00000001

​ generator: (-1.2)

特点：

• Pallas曲线base filed等于Vesta曲线的scalar field；Pallas曲线scalar filed等于Vesta曲线的base field

• Pallas和Vesta曲线都是低阶isogenies

• Pallas和Vesta曲线具有相同的2-adicity，为32

sage:

// Pallas
Fp = GF(28948022309329048855892746252171976963363056481941560715954676764349967630337)
Pallas = EllipticCurve(Fp, [0, 5])
Pallas.count_points()

// Vesta
Fq = GF(28948022309329048855892746252171976963363056481941647379679742748393362948097)
Vesta = EllipticCurve(Fq, [0, 5])
Vesta.count_points()