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Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
277.a.277.2 277.a \(y^2 + y = x^5 - 9x^4 + 14x^3 - 19x^2 + 11x - 6\) $\mathrm{USp}(4)$ 0
295.a.295.2 295.a \(y^2 + (x^2 + x + 1)y = x^5 - 40x^3 + 22x^2 + 389x - 608\) $\mathrm{USp}(4)$ 0
461.a.461.2 461.a \(y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306\) $\mathrm{USp}(4)$ 0
604.a.9664.1 604.a \(y^2 + (x^2 + x + 1)y = 4x^5 + 9x^4 + 48x^3 - 4x^2 - 53x - 21\) $\mathrm{USp}(4)$ 0
810.a.196830.1 810.a \(y^2 + (x + 1)y = x^5 + 15x^4 + 20x^3 - 297x^2 + 94x - 8\) $N(G_{1,3})$ 0
880.a.225280.1 880.a \(y^2 = x^5 + 13x^4 + 55x^3 + 76x^2 - 44\) $G_{3,3}$ 0
1038.a.1038.1 1038.a \(y^2 + (x^2 + x)y = x^5 - 12x^4 + 26x^3 + 46x^2 + 21x + 3\) $\mathrm{USp}(4)$ 0
1077.b.1077.2 1077.b \(y^2 + y = x^5 + 14x^4 + 38x^3 - 79x^2 + 15x - 1\) $\mathrm{USp}(4)$ 0
1109.a.1109.1 1109.a \(y^2 + y = x^5 - 6x^4 - 36x^3 - 6x^2 + 63x - 36\) $\mathrm{USp}(4)$ 0
1216.a.19456.1 1216.a \(y^2 + x^2y = 4x^5 + 3x^4 - 11x^3 - 6x^2 + 6x - 1\) $\mathrm{USp}(4)$ 0
1270.a.325120.1 1270.a \(y^2 + (x^2 + x)y = x^5 + 17x^4 + 76x^3 + 14x^2 - 32x + 3\) $\mathrm{USp}(4)$ 0
1309.a.9163.2 1309.a \(y^2 + x^2y = -x^6 + 20x^5 - 128x^4 + 248x^3 + 32x^2 + x\) $\mathrm{USp}(4)$ 0
1328.a.84992.1 1328.a \(y^2 + (x + 1)y = 4x^5 + 9x^4 + 16x^3 + 13x^2 + 8x + 1\) $\mathrm{USp}(4)$ 0
1532.a.392192.1 1532.a \(y^2 + (x^2 + x + 1)y = x^5 + 7x^4 - 53x^2 + 12x - 1\) $\mathrm{USp}(4)$ 0
1696.a.27136.1 1696.a \(y^2 + (x + 1)y = 4x^5 + 7x^4 + 8x^3 + 3x^2 - 1\) $\mathrm{USp}(4)$ 0
1701.a.1701.1 1701.a \(y^2 + y = x^5 + 19x^4 + 86x^3 - 60x^2 + 12x - 1\) $\mathrm{USp}(4)$ 0
1738.a.137302.1 1738.a \(y^2 + xy = x^5 - 5x^3 - 66x^2 - 101x - 41\) $\mathrm{USp}(4)$ 0
1888.a.483328.2 1888.a \(y^2 = x^5 + 8x^4 + 8x^3 - 31x^2 + 20x - 4\) $\mathrm{USp}(4)$ 0
1911.a.5733.1 1911.a \(y^2 + x^2y = x^5 - 4x^4 - 8x^2 - x - 4\) $\mathrm{USp}(4)$ 0
1935.a.52245.2 1935.a \(y^2 + xy = x^5 - 2x^4 - 82x^3 - 20x^2 + 927x - 1134\) $\mathrm{USp}(4)$ 0
2166.b.123462.1 2166.b \(y^2 + (x^3 + x)y = -x^6 - x^5 + 5x^3 + 8x^2 + 7x + 3\) $G_{3,3}$ 0
2190.a.219000.1 2190.a \(y^2 + (x^2 + x)y = x^5 + 7x^4 - 7x^3 - 69x^2 + 105x - 26\) $\mathrm{USp}(4)$ 0
2223.a.6669.1 2223.a \(y^2 + (x^2 + 1)y = 3x^5 + 3x^4 + 4x^3 - 1\) $\mathrm{USp}(4)$ 0
2298.a.20682.1 2298.a \(y^2 + xy = x^5 + 12x^4 + 40x^3 - 111x + 63\) $\mathrm{USp}(4)$ 0
2341.a.2341.1 2341.a \(y^2 + y = x^5 + 2x^4 + 2x^3 - x - 1\) $\mathrm{USp}(4)$ 0
2430.b.196830.1 2430.b \(y^2 + xy = 9x^5 - 30x^4 - 30x^3 + 92x^2 + 77x + 15\) $N(G_{1,3})$ 0
2634.a.2634.1 2634.a \(y^2 + (x + 1)y = -x^5 + x^4 - 2x^2 + x - 1\) $\mathrm{USp}(4)$ 0
2646.c.74088.1 2646.c \(y^2 + xy = x^5 - 56x^3 + 45x^2 + 768x - 1448\) $G_{3,3}$ 0
2735.a.13675.1 2735.a \(y^2 + (x^2 + x + 1)y = x^5 - x^4 - 39x^3 - 76x^2 + 24x - 6\) $\mathrm{USp}(4)$ 0
2816.a.180224.1 2816.a \(y^2 = 2x^5 - 2x^4 + 4x^3 - 3x^2 + 2x - 1\) $\mathrm{USp}(4)$ 0
2928.a.8784.1 2928.a \(y^2 + xy = -x^6 + 3x^4 - 5x^3 + 3x^2 - x\) $\mathrm{USp}(4)$ 0
2955.a.369375.1 2955.a \(y^2 + (x + 1)y = x^5 - 34x^3 + 28x^2 + 297x - 487\) $\mathrm{USp}(4)$ 0
2976.a.23808.1 2976.a \(y^2 = x^5 - 2x^2 - x - 1\) $\mathrm{USp}(4)$ 0
2976.b.380928.1 2976.b \(y^2 = x^5 - 12x^4 + 28x^3 + 47x^2 + 21x + 3\) $\mathrm{USp}(4)$ 0
3003.a.99099.1 3003.a \(y^2 + xy = x^5 + 6x^4 + 16x^3 - 63x - 126\) $\mathrm{USp}(4)$ 0
3040.a.778240.1 3040.a \(y^2 = x^5 + 2x^4 + 4x^3 - 7x^2 - 12x - 4\) $\mathrm{USp}(4)$ 0
3071.a.3071.1 3071.a \(y^2 + (x^2 + x + 1)y = x^5 - 6x^4 + 3x^2 - x - 1\) $\mathrm{USp}(4)$ 0
3124.a.49984.1 3124.a \(y^2 + (x^3 + 1)y = -3x^6 + 12x^4 + 8x^3 - 14x^2 - 18x - 5\) $\mathrm{USp}(4)$ 0
3209.a.3209.1 3209.a \(y^2 + (x^2 + x + 1)y = x^5 - 2x^4 + x^3 - 3x^2 - 1\) $\mathrm{USp}(4)$ 0
3248.a.3248.1 3248.a \(y^2 + xy = -x^6 - 4x^5 - x^4 + 9x^3 + x^2 - 8x + 3\) $\mathrm{USp}(4)$ 0
3381.a.165669.1 3381.a \(y^2 + y = x^5 - 4x^3 - 7x^2 - 4x - 1\) $\mathrm{USp}(4)$ 0
3572.b.114304.1 3572.b \(y^2 + (x^2 + x)y = -x^5 - 5x^4 - 8x^2 + x - 3\) $\mathrm{USp}(4)$ 0
3648.a.98496.1 3648.a \(y^2 + (x + 1)y = -x^6 - 2x^5 - x^4 + 2x^3 + 2x^2 - 1\) $\mathrm{USp}(4)$ 0
3680.b.942080.1 3680.b \(y^2 = x^5 - 56x^3 - 245x^2 - 383x - 217\) $\mathrm{USp}(4)$ 0
3712.d.950272.1 3712.d \(y^2 + x^2y = x^5 - x^4 - 32x^3 - 79x^2 - 52x - 11\) $\mathrm{USp}(4)$ 0
3779.a.3779.1 3779.a \(y^2 + (x^2 + x + 1)y = x^5 - 7x^4 + 7x^3 - 41x^2 + 13x - 60\) $\mathrm{USp}(4)$ 1
3792.a.60672.1 3792.a \(y^2 + x^2y = 4x^5 + 17x^4 + 6x^3 - 27x^2 + 10x - 1\) $\mathrm{USp}(4)$ 0
3888.a.248832.1 3888.a \(y^2 + x^2y = x^5 - 8x^4 + 5x^3 + 37x^2 + 32x + 8\) $\mathrm{USp}(4)$ 0
3973.a.3973.1 3973.a \(y^2 + y = x^5 + 2x^4 + 4x^3 + 4x^2 + 3x + 1\) $\mathrm{USp}(4)$ 0
4051.a.4051.1 4051.a \(y^2 + (x^2 + x + 1)y = x^5 - 7x^4 - 8x^3 + 40x^2 + 13x - 62\) $\mathrm{USp}(4)$ 0
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