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Results (displaying all 40 matches)

Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
360.a.6480.1 360.a \(y^2 + (x^3 + x)y = -3x^4 + 7x^2 - 5\) $G_{3,3}$ 0
600.a.18000.1 600.a \(y^2 + xy = 10x^5 - 18x^4 + 8x^3 + x^2 - x\) $G_{3,3}$ 0
600.b.450000.1 600.b \(y^2 + (x^3 + x)y = -5x^4 + 25x^2 - 45\) $G_{3,3}$ 0
630.a.34020.1 630.a \(y^2 + (x^2 + x)y = 3x^5 + 10x^4 - 23x^2 - 6x + 15\) $G_{3,3}$ 0
816.a.39168.1 816.a \(y^2 + (x^2 + 1)y = 3x^5 - 4x^3 - x^2 + x\) $\mathrm{USp}(4)$ 0
1584.a.684288.1 1584.a \(y^2 + (x^3 + x)y = -x^6 + 6x^4 - 17x^2 + 11\) $G_{3,3}$ 0
2169.a.175689.1 2169.a \(y^2 + (x^2 + x)y = x^5 - 9x^4 + 22x^3 - 14x^2 - x\) $N(G_{3,3})$ 0
2457.b.199017.1 2457.b \(y^2 + (x^2 + x)y = -x^5 + 4x^4 + x^3 - 13x^2 - 9x\) $N(G_{3,3})$ 0
2560.a.5120.1 2560.a \(y^2 = x^5 - x^4 - 2x^3 + x^2 + x\) $N(G_{3,3})$ 0
2560.a.819200.1 2560.a \(y^2 = 2x^5 - 7x^4 + 2x^3 + 7x^2 + 2x\) $N(G_{3,3})$ 0
2600.a.338000.1 2600.a \(y^2 + xy = 10x^5 + 8x^4 - 5x^3 - 3x^2 + x\) $\mathrm{USp}(4)$ 0
2745.a.502335.1 2745.a \(y^2 + (x^2 + x)y = 3x^5 + 7x^4 + 5x^3 - x\) $\mathrm{USp}(4)$ 0
3417.a.686817.1 3417.a \(y^2 + (x^2 + x)y = 3x^5 - 9x^4 + 6x^3 - x\) $\mathrm{USp}(4)$ 0
3591.a.226233.1 3591.a \(y^2 + (x^2 + x)y = 3x^5 + 3x^4 - 6x^3 - 4x^2 + 3x\) $\mathrm{USp}(4)$ 0
3978.a.930852.1 3978.a \(y^2 + (x^2 + x)y = x^5 + 3x^4 - 3x^3 - 8x^2 + 6x\) $\mathrm{USp}(4)$ 0
4096.b.65536.1 4096.b \(y^2 = x^5 - x\) $J(C_2)$ 0
4352.b.278528.1 4352.b \(y^2 = 2x^5 - x^4 - 4x^3 + x^2 + 2x\) $N(G_{3,3})$ 0
4608.c.27648.1 4608.c \(y^2 = x^5 - x^4 + x^2 - x\) $J(E_4)$ 0
4950.a.742500.1 4950.a \(y^2 + (x^2 + x)y = 15x^5 - 22x^3 - 5x^2 + 8x + 3\) $G_{3,3}$ 0
5655.b.491985.1 5655.b \(y^2 + (x^2 + x)y = x^5 + 2x^4 - 4x^3 - 3x^2 + 3x\) $\mathrm{USp}(4)$ 0
6105.a.201465.1 6105.a \(y^2 + (x^2 + x)y = x^5 - 8x^3 - 4x^2 + 14x + 11\) $\mathrm{USp}(4)$ 0
6270.a.188100.1 6270.a \(y^2 + (x^2 + x)y = -x^5 + 4x^4 - 11x^2 - 6x\) $\mathrm{USp}(4)$ 0
6615.b.416745.1 6615.b \(y^2 + (x^2 + x)y = x^5 - 7x^3 + 10x - 5\) $\mathrm{USp}(4)$ 0
6825.a.716625.1 6825.a \(y^2 + (x^2 + x)y = x^5 - 2x^4 - 5x^3 + x^2 + 3x\) $\mathrm{USp}(4)$ 0
7680.a.46080.1 7680.a \(y^2 = x^5 - 3x^4 + 5x^2 - x - 2\) $\mathrm{USp}(4)$ 0
7680.b.46080.1 7680.b \(y^2 = x^5 + 3x^4 - 5x^2 - x + 2\) $\mathrm{USp}(4)$ 0
8190.a.982800.1 8190.a \(y^2 + (x^2 + x)y = x^5 - 7x^4 + 6x^3 + 17x^2 + 3x\) $\mathrm{USp}(4)$ 1
8192.a.32768.1 8192.a \(y^2 = x^5 - 3x^3 + 2x\) $J(E_4)$ 0
8192.b.131072.1 8192.b \(y^2 = x^5 - 3x^4 + 6x^2 - 4x\) $J(E_2)$ 0
12800.c.128000.1 12800.c \(y^2 = x^5 - 3x^4 + 3x^2 - x\) $J(E_4)$ 0
15360.h.184320.1 15360.h \(y^2 = 2x^5 - x^4 - 5x^3 + 3x + 1\) $N(G_{1,3})$ 1
15360.i.184320.1 15360.i \(y^2 = 2x^5 + x^4 - 5x^3 + 3x - 1\) $N(G_{1,3})$ 0
20480.h.409600.1 20480.h \(y^2 = x^5 - 2x^4 + x^3 + 2x^2 - 2x\) $\mathrm{USp}(4)$ 0
20480.i.409600.1 20480.i \(y^2 = x^5 + 2x^4 + x^3 - 2x^2 - 2x\) $\mathrm{USp}(4)$ 0
24576.a.294912.1 24576.a \(y^2 = x^5 - 3x^4 - x^3 + 5x^2 + 2x\) $\mathrm{USp}(4)$ 1
24576.b.294912.1 24576.b \(y^2 = x^5 + 3x^4 - x^3 - 5x^2 + 2x\) $\mathrm{USp}(4)$ 0
25600.f.512000.1 25600.f \(y^2 = 2x^5 - 5x^4 - x^3 + 5x^2 + 2x\) $J(E_1)$ 0
36864.e.442368.1 36864.e \(y^2 = x^5 + 3x^4 - x^3 - 9x^2 - 6x\) $\mathrm{USp}(4)$ 0
36864.f.442368.1 36864.f \(y^2 = x^5 - 3x^4 - x^3 + 9x^2 - 6x\) $\mathrm{USp}(4)$ 1
73728.d.884736.1 73728.d \(y^2 = 2x^5 - 5x^3 + 3x\) $J(E_4)$ 0


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