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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
1088.a.1088.1 1088.a \(y^2 + (x^3 + x^2 + x + 1)y = x^4 + x^3 + 2x^2 + x + 1\) $N(G_{3,3})$ 0
1696.b.434176.1 1696.b \(y^2 + xy = x^6 - 2x^5 + 2x^4 + 9x^3 - 12x^2 + 3x + 26\) $N(G_{3,3})$ 0
1792.a.3584.1 1792.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^4 + x^2 - 2x\) $N(G_{3,3})$ 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
3264.a.3264.1 3264.a \(y^2 + x^3y = x^5 - 3x^3 + 4x - 2\) $N(G_{3,3})$ 1
3584.a.3584.1 3584.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^5 - 3x^2 + 3x - 1\) $N(G_{3,3})$ 0
4352.b.278528.1 4352.b \(y^2 = 2x^5 - x^4 - 4x^3 + x^2 + 2x\) $N(G_{3,3})$ 0
9792.a.9792.1 9792.a \(y^2 + y = -6x^6 - 4x^5 - 4x^4 - 5x^3 - 2x^2 - x - 1\) $N(G_{3,3})$ 0
10240.c.10240.1 10240.c \(y^2 = x^5 - 3x^4 + 3x^2 + x\) $N(G_{3,3})$ 0
10496.a.20992.1 10496.a \(y^2 + x^3y = x^5 - x^4 - 4x^3 + 2x^2 + 4x - 2\) $N(G_{3,3})$ 1
12500.a.12500.1 12500.a \(y^2 + (x^3 + 1)y = x^6 + 2x^3 - x\) $N(G_{3,3})$ 0
12500.b.50000.1 12500.b \(y^2 + (x^3 + 1)y = x^5 - 3x^3 + 3x - 2\) $N(G_{3,3})$ 0
13248.a.13248.1 13248.a \(y^2 + (x^3 + x^2 + x + 1)y = -x^4 + x^3 - 2x^2 + x - 1\) $N(G_{3,3})$ 1
14016.b.14016.1 14016.b \(y^2 + x^3y = x^5 - x^4 - 5x^3 + 6x^2 + 12x - 10\) $N(G_{3,3})$ 1
14912.a.14912.1 14912.a \(y^2 + y = 10x^6 - 24x^5 + 34x^4 - 29x^3 + 17x^2 - 6x + 1\) $N(G_{3,3})$ 0
16128.a.32256.1 16128.a \(y^2 + y = -6x^6 - 4x^5 - 6x^4 - 2x^3 - 3x^2 - x - 1\) $N(G_{3,3})$ 0
18432.c.589824.1 18432.c \(y^2 = x^5 - 2x^4 + 2x^3 + 2x^2 + x\) $N(G_{3,3})$ 1
19008.a.57024.1 19008.a \(y^2 + x^3y = x^5 - x^4 - 5x^3 + 2x^2 + 4x - 2\) $N(G_{3,3})$ 0
20992.a.20992.1 20992.a \(y^2 + x^3y = -x^4 - 2x^3 + 4x^2 + 4x - 6\) $N(G_{3,3})$ 1
21952.a.21952.1 21952.a \(y^2 + x^3y = -x^4 - 3x^3 - 2x^2 + 2\) $N(G_{3,3})$ 1
26112.b.78336.1 26112.b \(y^2 + x^3y = 3x^4 - 12x^3 + 2x^2 + 24x - 18\) $N(G_{3,3})$ 1
26624.a.26624.1 26624.a \(y^2 = x^5 - 6x^3 - 3x^2 + 8x + 6\) $N(G_{3,3})$ 0
27200.d.680000.1 27200.d \(y^2 + x^3y = x^4 - x^3 + 2x^2 + 2\) $N(G_{3,3})$ 1
28672.d.458752.1 28672.d \(y^2 = x^5 - 3x^4 + 6x^3 - 6x^2 + 4x\) $N(G_{3,3})$ 1
28672.f.458752.1 28672.f \(y^2 = x^5 + 3x^4 + 6x^3 + 6x^2 + 4x\) $N(G_{3,3})$ 0
29952.d.29952.1 29952.d \(y^2 = x^5 - x^4 - x^3 + x^2 + x\) $N(G_{3,3})$ 1
33280.a.66560.1 33280.a \(y^2 = x^5 - 7x^4 + 10x^3 + 7x^2 + x\) $N(G_{3,3})$ 0
35072.b.70144.1 35072.b \(y^2 + y = -6x^6 - 4x^5 - 10x^4 - 4x^3 - 5x^2 - x - 1\) $N(G_{3,3})$ 0
36864.a.36864.1 36864.a \(y^2 = x^5 - x^4 - x^3 + x^2 + x - 1\) $N(G_{3,3})$ 0
36864.c.36864.1 36864.c \(y^2 = x^5 + x^4 - x^3 - x^2 + x + 1\) $N(G_{3,3})$ 1
37440.b.149760.1 37440.b \(y^2 = x^6 - x^5 + x^4 + x^3 - 4x^2 - 4x - 1\) $N(G_{3,3})$ 1
39168.a.78336.1 39168.a \(y^2 + x^3y = x^5 - 3x^4 - 6x^3 + 12x^2 + 8x - 14\) $N(G_{3,3})$ 1
39168.b.235008.1 39168.b \(y^2 + x^3y = -4x^4 - 2x^3 + 26x^2 + 12x - 66\) $N(G_{3,3})$ 1
39168.c.705024.1 39168.c \(y^2 + x^3y = x^5 + 3x^4 + 4x^3 + 6x^2 + 4x + 2\) $N(G_{3,3})$ 1
39872.a.39872.1 39872.a \(y^2 + x^3y = x^5 - 2x^4 - 9x^3 + 8x^2 + 28x - 30\) $N(G_{3,3})$ 1
40960.c.655360.1 40960.c \(y^2 = 4x^5 - 2x^4 - 8x^3 - x^2 + 3x + 1\) $N(G_{3,3})$ 1
40960.d.655360.1 40960.d \(y^2 = x^5 - 6x^4 + 6x^3 + 6x^2 + x\) $N(G_{3,3})$ 0
42048.a.126144.1 42048.a \(y^2 + x^3y = 2x^5 + 3x^4 - 5x^3 - 6x^2 + 8x - 2\) $N(G_{3,3})$ 1
43264.d.86528.1 43264.d \(y^2 + x^3y = x^5 + x^4 + 2x^2 + 4x + 2\) $N(G_{3,3})$ 1
43520.c.87040.1 43520.c \(y^2 = 2x^5 - 7x^4 - 4x^3 + 10x^2 + 9x + 2\) $N(G_{3,3})$ 0
46400.d.928000.1 46400.d \(y^2 = x^6 - 2x^5 - 3x^4 + 5x^3 + 3x^2 - 2x - 1\) $N(G_{3,3})$ 1
50000.b.800000.1 50000.b \(y^2 + y = x^6 - 4x^5 + 5x^3 - x\) $N(G_{3,3})$ 1
51200.a.256000.1 51200.a \(y^2 = 5x^5 - 7x^4 - 28x^3 + 37x^2 - 15x + 2\) $N(G_{3,3})$ 0
52992.a.105984.1 52992.a \(y^2 + x^3y = x^5 + x^4 + 4x^3 + 2x^2 + 4x + 2\) $N(G_{3,3})$ 1
53824.a.53824.1 53824.a \(y^2 + x^3y = x^5 - 3x^3 + 4x + 2\) $N(G_{3,3})$ 1
54208.a.54208.1 54208.a \(y^2 + x^3y = -2x^4 - 5x^3 - 4x^2 + 2\) $N(G_{3,3})$ 1
55872.a.55872.1 55872.a \(y^2 + y = -6x^6 - 12x^5 - 16x^4 - 13x^3 - 8x^2 - 3x - 1\) $N(G_{3,3})$ 0
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