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Results (displaying all 49 matches)

Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
5040.c.141120.1 5040.c \(y^2 + (x^3 + x)y = -x^6 - 36x^4 - 560x^2 - 2940\) $G_{3,3}$ 0
15840.a.633600.1 15840.a \(y^2 + (x^2 + 1)y = -33x^6 - 83x^4 - 69x^2 - 19\) $G_{3,3}$ 0
17640.b.105840.1 17640.b \(y^2 + (x^3 + x)y = 26x^6 + 105x^4 + 141x^2 + 63\) $G_{3,3}$ 1
32640.a.32640.1 32640.a \(y^2 + xy = -x^6 - 24x^4 - 192x^2 - 510\) $N(G_{1,3})$ 0
32820.a.65640.1 32820.a \(y^2 + (x^2 + x)y = -7x^6 - 5x^5 + 54x^4 + 59x^3 - 58x^2 - 64x - 14\) $\mathrm{USp}(4)$ 0
37440.c.37440.1 37440.c \(y^2 + xy = 15x^6 + 62x^4 + 85x^2 + 39\) $G_{3,3}$ 1
40950.a.40950.1 40950.a \(y^2 + (x^3 + 1)y = 8x^6 - 42x^5 + 32x^4 + 84x^3 - 40x^2 - 81x - 24\) $G_{3,3}$ 1
45696.b.319872.1 45696.b \(y^2 + xy = 3x^6 + 74x^4 + 608x^2 + 1666\) $G_{3,3}$ 1
48960.b.146880.1 48960.b \(y^2 + x^2y = -15x^6 - 98x^4 - 212x^2 - 153\) $G_{3,3}$ 0
62400.b.62400.1 62400.b \(y^2 + (x^3 + x)y = 26x^6 - 43x^5 - 60x^4 + 86x^3 + 62x^2 - 47x - 30\) $\mathrm{USp}(4)$ 1
65520.a.65520.1 65520.a \(y^2 + (x^3 + x)y = -x^6 - 28x^4 - 336x^2 - 1365\) $G_{3,3}$ 0
74900.a.749000.1 74900.a \(y^2 + (x^2 + x)y = 2x^5 - 61x^4 - 93x^3 + 195x^2 + 155x - 220\) $\mathrm{USp}(4)$ 0
76608.a.76608.1 76608.a \(y^2 + xy = -21x^6 - 88x^4 - 123x^2 - 57\) $G_{3,3}$ 0
80730.a.242190.1 80730.a \(y^2 + (x^2 + x)y = 22x^6 + 7x^5 + 61x^4 + 14x^3 + 61x^2 + 7x + 22\) $G_{3,3}$ 0
87360.b.87360.1 87360.b \(y^2 + xy = 91x^6 + 150x^4 + 82x^2 + 15\) $G_{3,3}$ 1
110880.a.887040.1 110880.a \(y^2 + (x^3 + x)y = -4x^6 - 45x^4 - 176x^2 - 231\) $G_{3,3}$ 2
110880.b.997920.1 110880.b \(y^2 + (x^2 + 1)y = -22x^6 - 50x^4 - 37x^2 - 9\) $G_{3,3}$ 0
114240.a.114240.1 114240.a \(y^2 + (x^2 + 1)y = -51x^6 - 315x^4 - 104x^2 - 9\) $G_{3,3}$ 1
114240.b.114240.1 114240.b \(y^2 + x^2y = -17x^6 - 94x^4 - 172x^2 - 105\) $G_{3,3}$ 2
130944.a.261888.1 130944.a \(y^2 + xy = -x^6 - 48x^4 - 768x^2 - 4092\) $N(G_{1,3})$ 0
131040.a.131040.1 131040.a \(y^2 + (x^3 + x)y = -10x^6 + 81x^4 - 227x^2 + 210\) $G_{3,3}$ 1
146794.b.293588.1 146794.b \(y^2 + xy = x^5 + 15x^4 + 48x^3 - 64x^2 + 2x\) $\mathrm{USp}(4)$ 1
154440.a.617760.1 154440.a \(y^2 + (x^2 + 1)y = -78x^6 - 133x^4 - 75x^2 - 14\) $G_{3,3}$ 1
164970.a.329940.1 164970.a \(y^2 + (x^3 + 1)y = -25x^6 + x^5 - 71x^4 + x^3 - 71x^2 + x - 25\) $G_{3,3}$ 1
194850.a.194850.1 194850.a \(y^2 + xy = 30x^6 - 39x^5 - 47x^4 + 50x^3 + 31x^2 - 17x - 9\) $\mathrm{USp}(4)$ 0
213342.a.213342.1 213342.a \(y^2 + xy = -3x^6 - 9x^5 - 23x^4 - 48x^3 - 59x^2 - 64x - 50\) $\mathrm{USp}(4)$ 1
214368.a.214368.1 214368.a \(y^2 + (x^2 + 1)y = -66x^6 - 182x^4 - 167x^2 - 51\) $G_{3,3}$ 0
220416.c.220416.1 220416.c \(y^2 + xy = -21x^6 - 79x^4 - 99x^2 - 41\) $G_{3,3}$ 3
270720.a.270720.1 270720.a \(y^2 + xy = 3x^6 - 70x^4 + 544x^2 - 1410\) $G_{3,3}$ 1
297360.a.297360.1 297360.a \(y^2 + (x^3 + x)y = -x^6 - 46x^4 - 920x^2 - 6195\) $G_{3,3}$ 0
335104.b.335104.1 335104.b \(y^2 + x^2y = 7x^6 + 63x^4 + 189x^2 + 187\) $G_{3,3}$ 0
404736.a.404736.1 404736.a \(y^2 + xy = -x^6 - 35x^4 - 408x^2 - 1581\) $G_{3,3}$ 1
421344.a.842688.1 421344.a \(y^2 + x^2y = -7x^6 + 108x^4 - 446x^2 + 209\) $G_{3,3}$ 1
442890.a.442890.1 442890.a \(y^2 + (x^2 + x)y = x^5 - 52x^4 + 671x^3 - 52x^2 + x\) $G_{3,3}$ 1
460362.a.460362.1 460362.a \(y^2 + (x^2 + x)y = x^5 + 52x^4 + 684x^3 + 52x^2 + x\) $G_{3,3}$ 1
473960.a.947920.1 473960.a \(y^2 + xy = 24x^6 - 58x^5 - 8x^4 + 89x^3 - 20x^2 - 36x + 7\) $\mathrm{USp}(4)$ 1
482790.a.482790.1 482790.a \(y^2 + (x^3 + 1)y = -14x^6 + 33x^5 - 61x^4 + 69x^3 - 61x^2 + 33x - 14\) $G_{3,3}$ 1
537225.a.537225.1 537225.a \(y^2 + (x^2 + x)y = -x^6 + 16x^5 - 78x^4 + 88x^3 + 107x^2 + 32x + 3\) $\mathrm{USp}(4)$ 1
537600.a.537600.1 537600.a \(y^2 = -6x^6 - 5x^5 - 19x^4 - 10x^3 - 19x^2 - 5x - 6\) $G_{3,3}$ 0
537600.b.537600.1 537600.b \(y^2 = 6x^6 - 5x^5 + 19x^4 - 10x^3 + 19x^2 - 5x + 6\) $G_{3,3}$ 1
557568.a.557568.1 557568.a \(y^2 + xy = -2x^6 + 16x^4 - 32x^2 - 1\) $G_{3,3}$ 0
585750.a.585750.1 585750.a \(y^2 + (x^2 + x)y = -20x^6 + 13x^5 - 61x^4 + 25x^3 - 61x^2 + 13x - 20\) $G_{3,3}$ 1
599040.a.599040.1 599040.a \(y^2 = -6x^6 - 18x^5 - 41x^4 - 52x^3 - 52x^2 - 29x - 12\) $G_{3,3}$ 0
599040.b.599040.1 599040.b \(y^2 = 6x^6 - 18x^5 + 41x^4 - 52x^3 + 52x^2 - 29x + 12\) $G_{3,3}$ 1
614400.a.614400.1 614400.a \(y^2 = 6x^6 - 16x^5 - x^4 + 23x^3 - 11x - 3\) $\mathrm{USp}(4)$ 1
616510.a.616510.1 616510.a \(y^2 + (x^2 + x)y = 5x^6 - 10x^5 - 7x^4 + 3x^3 + 19x^2 + 20x - 34\) $\mathrm{USp}(4)$ 0
869526.a.869526.1 869526.a \(y^2 + (x^3 + 1)y = 10x^5 + 98x^4 + 64x^3 - 233x^2 + 133x - 23\) $\mathrm{USp}(4)$ 2
919360.b.919360.1 919360.b \(y^2 + (x^3 + x)y = x^6 + 28x^4 + 43x^2 + 17\) $G_{3,3}$ 0
970416.a.970416.1 970416.a \(y^2 + x^2y = x^5 + 32x^3 - 16x^2 - 14x - 2\) $\mathrm{USp}(4)$ 0


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