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Results (displaying all 45 matches)

Label Class Equation Sato-Tate \(\overline{\Q}\)-simple \(\GL_2\) Rank*
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
5040.c.141120.1 5040.c \(y^2 + (x^3 + x)y = -x^6 - 36x^4 - 560x^2 - 2940\) $G_{3,3}$ 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
8960.b.8960.1 8960.b \(y^2 + xy = -5x^6 - 19x^4 - 21x^2 - 7\) $G_{3,3}$ 0
15840.a.633600.1 15840.a \(y^2 + (x^2 + 1)y = -33x^6 - 83x^4 - 69x^2 - 19\) $G_{3,3}$ 0
30888.a.123552.1 30888.a \(y^2 + (x^3 + x)y = -x^6 - 17x^4 - 120x^2 - 286\) $N(G_{1,3})$ 0
30912.d.92736.1 30912.d \(y^2 + (x^2 + 1)y = -7x^6 - 42x^4 - 82x^2 - 52\) $G_{3,3}$ 0
32640.a.32640.1 32640.a \(y^2 + xy = -x^6 - 24x^4 - 192x^2 - 510\) $N(G_{1,3})$ 0
33516.a.268128.1 33516.a \(y^2 + (x^3 + 1)y = 11x^6 + 13x^5 + 18x^4 + 29x^3 + 18x^2 + 13x + 11\) $G_{3,3}$ 0
48960.b.146880.1 48960.b \(y^2 + x^2y = -15x^6 - 98x^4 - 212x^2 - 153\) $G_{3,3}$ 0
64584.a.775008.1 64584.a \(y^2 + (x^3 + x)y = -10x^6 - 77x^4 - 183x^2 - 138\) $G_{3,3}$ 0
65520.a.65520.1 65520.a \(y^2 + (x^3 + x)y = -x^6 - 28x^4 - 336x^2 - 1365\) $G_{3,3}$ 0
65520.b.131040.1 65520.b \(y^2 + (x^3 + x)y = -10x^6 - 82x^4 - 227x^2 - 210\) $G_{3,3}$ 1
76608.a.76608.1 76608.a \(y^2 + xy = -21x^6 - 88x^4 - 123x^2 - 57\) $G_{3,3}$ 0
84000.a.168000.1 84000.a \(y^2 + x^3y = x^6 - x^5 - 9x^4 - 22x^3 - 26x^2 - 18x - 6\) $G_{3,3}$ 0
99088.a.198176.1 99088.a \(y^2 + (x^3 + x^2)y = -x^6 + 16x^4 - 112x^2 - 44x + 203\) $\mathrm{USp}(4)$ 0
110880.b.997920.1 110880.b \(y^2 + (x^2 + 1)y = -22x^6 - 50x^4 - 37x^2 - 9\) $G_{3,3}$ 0
130944.a.261888.1 130944.a \(y^2 + xy = -x^6 - 48x^4 - 768x^2 - 4092\) $N(G_{1,3})$ 0
146668.a.293336.1 146668.a \(y^2 + (x^3 + 1)y = -x^6 - 7x^5 - 10x^4 + 6x^3 - 36x^2 + 17x - 19\) $\mathrm{USp}(4)$ 0
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
194208.a.388416.1 194208.a \(y^2 + (x^3 + x)y = -x^6 - 9x^4 - 28x^2 - 28\) $G_{3,3}$ 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
276848.a.276848.1 276848.a \(y^2 + y = -x^6 - 10x^4 - 33x^2 - 36\) $G_{3,3}$ 0
297360.a.297360.1 297360.a \(y^2 + (x^3 + x)y = -x^6 - 46x^4 - 920x^2 - 6195\) $G_{3,3}$ 0
326144.a.326144.1 326144.a \(y^2 + x^2y = -7x^6 - 63x^4 - 186x^2 - 182\) $G_{3,3}$ 0
345463.a.345463.1 345463.a \(y^2 + (x^3 + x^2 + 1)y = -x^6 - 10x^4 + 4x^3 - 42x^2 + 10x - 58\) $\mathrm{USp}(4)$ 0
348591.a.348591.1 348591.a \(y^2 + (x^3 + x)y = -x^6 + 15x^4 - 28x^3 - 99x^2 + 363x - 356\) $\mathrm{USp}(4)$ 0
404736.a.404736.1 404736.a \(y^2 + xy = -x^6 - 35x^4 - 408x^2 - 1581\) $G_{3,3}$ 1
449012.a.898024.1 449012.a \(y^2 + (x^2 + x + 1)y = -x^6 + x^5 - 5x^4 + 14x^3 - 12x^2 + 27x - 38\) $\mathrm{USp}(4)$ 0
459510.a.459510.1 459510.a \(y^2 + (x^2 + x)y = -x^6 + 3x^5 - 13x^4 + 20x^3 - 41x^2 + 31x - 32\) $G_{3,3}$ 0
471900.a.943800.1 471900.a \(y^2 + (x^3 + 1)y = x^6 - 31x^5 - 56x^4 + 7x^3 + 20x^2 - 3x - 1\) $\mathrm{USp}(4)$ 0
478464.a.478464.1 478464.a \(y^2 + xy = -x^6 - 37x^4 - 456x^2 - 1869\) $G_{3,3}$ 0
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
482944.a.482944.1 482944.a \(y^2 + xy = -x^6 - 16x^4 - 86x^2 - 154\) $G_{3,3}$ 0
522144.a.522144.1 522144.a \(y^2 + (x^3 + x)y = -x^6 - 16x^4 - 104x^2 - 222\) $G_{3,3}$ 0
537600.a.537600.1 537600.a \(y^2 = -6x^6 - 5x^5 - 19x^4 - 10x^3 - 19x^2 - 5x - 6\) $G_{3,3}$ 0
539344.a.539344.1 539344.a \(y^2 + xy = -x^6 - 2x^5 - 11x^4 - 16x^3 - 40x^2 - 32x - 47\) $\mathrm{USp}(4)$ 0
548740.a.548740.1 548740.a \(y^2 + (x^3 + 1)y = -4x^6 + 2x^5 - 14x^4 + 18x^3 - 20x^2 + 25x - 23\) $\mathrm{USp}(4)$ 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
658560.b.658560.1 658560.b \(y^2 + xy = -30x^6 - 59x^4 - 37x^2 - 7\) $N(G_{1,3})$ 0
679024.a.679024.1 679024.a \(y^2 + y = -x^6 - 8x^4 - 18x^2 - 8\) $G_{3,3}$ 0
710400.a.710400.1 710400.a \(y^2 + xy = -x^6 - 15x^4 - 72x^2 - 111\) $G_{3,3}$ 0


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