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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
1170.a.10530.1 1170.a \(y^2 + (x^2 + x)y = 15x^6 + 28x^5 + 62x^4 + 59x^3 + 62x^2 + 28x + 15\) $G_{3,3}$ 0
1950.a.105300.1 1950.a \(y^2 + (x^2 + x)y = x^5 + 36x^4 + 330x^3 + 36x^2 + x\) $G_{3,3}$ 0
2610.a.2610.1 2610.a \(y^2 + (x^3 + 1)y = 8x^6 + 19x^5 + 39x^4 + 41x^3 + 39x^2 + 19x + 8\) $G_{3,3}$ 0
2730.b.38220.1 2730.b \(y^2 + (x^2 + x)y = x^5 + 28x^4 + 201x^3 + 28x^2 + x\) $G_{3,3}$ 0
2880.c.368640.1 2880.c \(y^2 = 6x^6 - 13x^5 + 27x^4 - 28x^3 + 27x^2 - 13x + 6\) $G_{3,3}$ 0
3570.a.3570.1 3570.a \(y^2 + (x^3 + 1)y = -10x^6 + 23x^5 - 47x^4 + 50x^3 - 47x^2 + 23x - 10\) $G_{3,3}$ 1
4158.a.16632.1 4158.a \(y^2 + (x^2 + x)y = -15x^6 + 32x^5 - 53x^4 + 64x^3 - 53x^2 + 32x - 15\) $G_{3,3}$ 0
5077.a.5077.1 5077.a \(y^2 + xy = x^5 + 7x^4 + 8x^3 - 16x^2 + x\) $\mathrm{USp}(4)$ 0
5280.d.84480.1 5280.d \(y^2 + xy = 24x^6 + 95x^4 + 125x^2 + 55\) $G_{3,3}$ 0
6400.f.64000.1 6400.f \(y^2 + x^3y = -2x^4 - 3x^3 + x^2 + 6x + 4\) $E_4$ 2
6570.a.479610.1 6570.a \(y^2 + (x^3 + 1)y = x^6 + x^5 - 5x^4 + 2x^3 - x^2 - 3x - 1\) $\mathrm{USp}(4)$ 0
7140.a.14280.1 7140.a \(y^2 + (x^2 + x + 1)y = 7x^6 + 39x^5 + 2x^4 + 28x^3 - 14x^2 - 8x - 1\) $\mathrm{USp}(4)$ 0
7920.a.7920.1 7920.a \(y^2 + (x^2 + 1)y = 15x^6 + 37x^4 + 30x^2 + 8\) $G_{3,3}$ 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
8400.a.8400.1 8400.a \(y^2 + (x^3 + x)y = x^6 + 16x^4 + 72x^2 + 105\) $G_{3,3}$ 0
8730.a.235710.1 8730.a \(y^2 + (x^2 + x)y = x^5 + 44x^4 + 491x^3 + 44x^2 + x\) $G_{3,3}$ 0
8960.b.8960.1 8960.b \(y^2 + xy = -5x^6 - 19x^4 - 21x^2 - 7\) $G_{3,3}$ 0
8960.c.17920.1 8960.c \(y^2 + y = -4x^6 - 10x^5 + 3x^4 + 15x^3 - x^2 - 4x - 1\) $\mathrm{USp}(4)$ 0
10075.c.654875.1 10075.c \(y^2 + xy = 5x^5 + 41x^4 + 88x^3 + 16x^2 + x\) $\mathrm{USp}(4)$ 0
10080.a.60480.1 10080.a \(y^2 + xy = -15x^6 + 58x^4 - 60x^2 + 7\) $G_{3,3}$ 0
10080.c.141120.1 10080.c \(y^2 + (x^3 + x)y = -x^6 + 35x^4 - 560x^2 + 2940\) $G_{3,3}$ 0
10710.a.32130.1 10710.a \(y^2 + (x^2 + x)y = -x^6 + 24x^4 + x^3 - 192x^2 - 12x + 494\) $G_{3,3}$ 0
11088.c.99792.1 11088.c \(y^2 + (x^3 + x)y = 5x^6 + 60x^4 + 232x^2 + 297\) $G_{3,3}$ 0
11520.d.368640.1 11520.d \(y^2 = -6x^6 - 13x^5 - 27x^4 - 28x^3 - 27x^2 - 13x - 6\) $G_{3,3}$ 1
11970.b.215460.1 11970.b \(y^2 + (x^2 + x)y = 5x^6 + 15x^5 + 37x^4 + 49x^3 + 54x^2 + 32x + 15\) $G_{3,3}$ 0
12096.c.979776.2 12096.c \(y^2 + xy = -9x^6 - 36x^4 - 48x^2 - 21\) $N(G_{1,3})$ 1
14400.b.360000.1 14400.b \(y^2 + xy = 3x^6 + 10x^4 + 10x^2 + 3\) $G_{3,3}$ 0
14400.d.388800.1 14400.d \(y^2 + xy = 15x^6 + 32x^4 + 22x^2 + 5\) $G_{3,3}$ 0
14955.a.224325.1 14955.a \(y^2 + xy = 15x^5 - 124x^4 + 77x^3 - 16x^2 + x\) $\mathrm{USp}(4)$ 0
15360.d.983040.1 15360.d \(y^2 = 2x^6 + 15x^4 + 37x^2 + 30\) $N(G_{1,3})$ 0
15360.f.983040.2 15360.f \(y^2 = -2x^6 - 15x^4 - 37x^2 - 30\) $N(G_{1,3})$ 1
15360.f.983040.1 15360.f \(y^2 = 30x^6 - 37x^4 + 15x^2 - 2\) $N(G_{1,3})$ 1
15360.h.184320.1 15360.h \(y^2 = 2x^5 - x^4 - 5x^3 + 3x + 1\) $N(G_{1,3})$ 1
15680.c.250880.1 15680.c \(y^2 + (x^2 + 1)y = 112x^6 + 93x^4 + x^2 - 9\) $G_{3,3}$ 1
16146.a.16146.1 16146.a \(y^2 + (x^2 + x)y = 6x^6 + 7x^5 + 19x^4 + 13x^3 + 19x^2 + 7x + 6\) $G_{3,3}$ 1
16438.a.32876.1 16438.a \(y^2 + xy = x^5 + 16x^4 + 64x^3 + 2x\) $\mathrm{USp}(4)$ 0
17718.a.70872.1 17718.a \(y^2 + (x^3 + 1)y = -x^6 - 3x^5 + 23x^4 + 39x^3 - 220x^2 + 107x - 14\) $\mathrm{USp}(4)$ 1
17952.b.287232.2 17952.b \(y^2 + xy = 8x^6 + 99x^4 + 408x^2 + 561\) $N(G_{1,3})$ 0
18315.a.604395.1 18315.a \(y^2 + (x^3 + 1)y = -11x^4 + 18x^2 + 12x + 2\) $\mathrm{USp}(4)$ 2
19680.b.59040.1 19680.b \(y^2 + (x^3 + x)y = x^6 + 31x^4 + 264x^2 + 738\) $G_{3,3}$ 0
20160.a.181440.1 20160.a \(y^2 + xy = -x^6 - 10x^4 - 33x^2 - 35\) $G_{3,3}$ 1
20832.a.187488.1 20832.a \(y^2 + (x^3 + x)y = 47x^6 + 155x^4 + 170x^2 + 62\) $G_{3,3}$ 0
21090.a.21090.1 21090.a \(y^2 + (x^2 + x)y = -21x^6 + 38x^5 - 86x^4 + 80x^3 - 86x^2 + 38x - 21\) $G_{3,3}$ 1
21840.a.43680.1 21840.a \(y^2 + (x^3 + x)y = x^6 + 28x^4 + 216x^2 + 546\) $G_{3,3}$ 0
22800.c.22800.1 22800.c \(y^2 + (x^2 + 1)y = -15x^6 - 53x^4 - 62x^2 - 24\) $G_{3,3}$ 1
23120.a.92480.1 23120.a \(y^2 + (x^3 + x)y = -4x^4 + 15x^2 - 20\) $G_{3,3}$ 2
24576.a.294912.1 24576.a \(y^2 = x^5 - 3x^4 - x^3 + 5x^2 + 2x\) $\mathrm{USp}(4)$ 1
25830.a.77490.1 25830.a \(y^2 + (x^3 + 1)y = x^6 - 30x^5 - 194x^4 + 154x^3 + 112x^2 + 21x + 1\) $G_{3,3}$ 0
26264.b.367696.1 26264.b \(y^2 + xy = 2x^5 + 14x^4 + 16x^3 - 32x^2 + x\) $\mathrm{USp}(4)$ 0
28050.a.701250.1 28050.a \(y^2 + (x^3 + 1)y = 5x^6 + 11x^5 + 23x^4 + 23x^3 + 23x^2 + 11x + 5\) $G_{3,3}$ 0
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