## Results (1-50 of 63310 matches)

Label Class Equation Sato-Tate $$\overline{\Q}$$-simple $$\GL_2$$ Rank*
249.a.249.1 249.a $$y^2 + (x^3 + 1)y = x^2 + x$$ $\mathrm{USp}(4)$ $0$
249.a.6723.1 249.a $$y^2 + (x^3 + 1)y = -x^5 + x^3 + x^2 + 3x + 2$$ $\mathrm{USp}(4)$ $0$
277.a.277.1 277.a $$y^2 + (x^3 + x^2 + x + 1)y = -x^2 - x$$ $\mathrm{USp}(4)$ $0$
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.295.1 295.a $$y^2 + (x^3 + 1)y = -x^2$$ $\mathrm{USp}(4)$ $0$
295.a.295.2 295.a $$y^2 + (x^2 + x + 1)y = x^5 - 40x^3 + 22x^2 + 389x - 608$$ $\mathrm{USp}(4)$ $0$
349.a.349.1 349.a $$y^2 + (x^3 + x^2 + x + 1)y = -x^3 - x^2$$ $\mathrm{USp}(4)$ $0$
353.a.353.1 353.a $$y^2 + (x^3 + x + 1)y = x^2$$ $\mathrm{USp}(4)$ $0$
363.a.11979.1 363.a $$y^2 + (x^2 + 1)y = x^5 + 2x^3 + 4x^2 + 2x$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
363.a.43923.1 363.a $$y^2 + x^2y = 11x^5 - 13x^4 - 7x^3 + 10x^2 + x - 2$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
388.a.776.1 388.a $$y^2 + (x^3 + x + 1)y = -x^4 + 2x^2 + x$$ $\mathrm{USp}(4)$ $0$
389.a.389.1 389.a $$y^2 + (x^3 + x)y = x^5 - 2x^4 - 8x^3 + 16x + 7$$ $\mathrm{USp}(4)$ $0$
389.a.389.2 389.a $$y^2 + (x + 1)y = x^5 + 2x^4 + 2x^3 + x^2$$ $\mathrm{USp}(4)$ $0$
394.a.394.1 394.a $$y^2 + (x^3 + x)y = 2x^5 + x^4 - 12x^3 + 17x - 9$$ $\mathrm{USp}(4)$ $0$
394.a.3152.1 394.a $$y^2 + (x + 1)y = -x^5$$ $\mathrm{USp}(4)$ $0$
427.a.2989.1 427.a $$y^2 + (x^3 + 1)y = x^5 - x^4 - 5x^3 + 4x^2 + 4x - 4$$ $\mathrm{USp}(4)$ $0$
461.a.461.1 461.a $$y^2 + x^3y = x^5 - 3x^3 + 3x - 2$$ $\mathrm{USp}(4)$ $0$
461.a.461.2 461.a $$y^2 + y = x^5 - x^4 - 39x^3 + 10x^2 + 272x - 306$$ $\mathrm{USp}(4)$ $0$
464.a.464.1 464.a $$y^2 + (x + 1)y = -x^6 - 2x^5 - 2x^4 - x^3$$ $\mathrm{USp}(4)$ $0$
464.a.29696.1 464.a $$y^2 + (x + 1)y = 8x^5 + 3x^4 - 4x^3 - 2x^2$$ $\mathrm{USp}(4)$ $0$
464.a.29696.2 464.a $$y^2 + xy = 4x^5 + 33x^4 + 72x^3 + 16x^2 + x$$ $\mathrm{USp}(4)$ $0$
472.a.944.1 472.a $$y^2 + (x^2 + 1)y = x^5 - x^4 - 2x^3 + x$$ $\mathrm{USp}(4)$ $0$
472.a.60416.1 472.a $$y^2 + (x + 1)y = 8x^5 + 5x^4 + 4x^3 + 2x^2$$ $\mathrm{USp}(4)$ $0$
523.a.523.1 523.a $$y^2 + (x + 1)y = x^5 - x^4 - x^3$$ $\mathrm{USp}(4)$ $0$
523.a.523.2 523.a $$y^2 + xy = x^5 - 31x^4 - 110x^3 + 21x^2 - x$$ $\mathrm{USp}(4)$ $0$
529.a.529.1 529.a $$y^2 + (x^3 + x + 1)y = -x^5$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
555.a.8325.1 555.a $$y^2 + (x + 1)y = 3x^5 - 2x^4 - 4x^3 + x^2 + x$$ $\mathrm{USp}(4)$ $0$
574.a.293888.1 574.a $$y^2 + (x^2 + x)y = x^5 - x^4 - 3x^2 + x + 1$$ $\mathrm{USp}(4)$ $0$
587.a.587.1 587.a $$y^2 + (x^3 + x + 1)y = -x^2 - x$$ $\mathrm{USp}(4)$ $1$
597.a.597.1 597.a $$y^2 + y = x^5 + 2x^4 + 3x^3 + 2x^2 + x$$ $\mathrm{USp}(4)$ $0$
600.a.18000.1 600.a $$y^2 + xy = 10x^5 - 18x^4 + 8x^3 + x^2 - x$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
600.a.96000.1 600.a $$y^2 + (x + 1)y = 4x^5 + 5x^4 + 3x^3 + 2x^2$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
603.a.603.1 603.a $$y^2 + (x^2 + 1)y = x^5 + 8x^4 + 4x^3 + 4x^2 + 2x$$ $\mathrm{USp}(4)$ $0$
603.a.603.2 603.a $$y^2 + (x^2 + 1)y = x^5 - x^3 + x$$ $\mathrm{USp}(4)$ $0$
604.a.9664.1 604.a $$y^2 + (x^2 + x + 1)y = 4x^5 + 9x^4 + 48x^3 - 4x^2 - 53x - 21$$ $\mathrm{USp}(4)$ $0$
604.a.9664.2 604.a $$y^2 + (x^3 + 1)y = -x^4 + x^3 + x^2 - x$$ $\mathrm{USp}(4)$ $0$
644.b.14812.1 644.b $$y^2 + (x^3 + 1)y = x^5 - x^4 - 4x^3 + 5x^2 - x - 1$$ $\mathrm{USp}(4)$ $0$
688.a.2752.1 688.a $$y^2 + y = 2x^5 - 5x^4 + 4x^3 - x$$ $\mathrm{USp}(4)$ $0$
688.a.704512.2 688.a $$y^2 = 2x^5 - 7x^4 - 8x^3 + 2x^2 + 4x + 1$$ $\mathrm{USp}(4)$ $0$
688.a.704512.1 688.a $$y^2 = 2x^5 + 4x^3 + x^2 + 2x + 1$$ $\mathrm{USp}(4)$ $0$
691.a.691.1 691.a $$y^2 + (x + 1)y = x^5 - x^3 - x^2$$ $\mathrm{USp}(4)$ $0$
704.a.45056.1 704.a $$y^2 + y = 4x^5 + 4x^4 - x^3 - 2x^2$$ $\mathrm{USp}(4)$ $0$
708.a.2832.1 708.a $$y^2 + (x^2 + x + 1)y = x^5$$ $\mathrm{USp}(4)$ $0$
708.a.19116.1 708.a $$y^2 + (x^3 + 1)y = -x^5 + 4x^2 + 4x - 1$$ $\mathrm{USp}(4)$ $0$
708.a.181248.1 708.a $$y^2 + (x^3 + 1)y = -x^6 - 4x^5 + 9x^4 + 48x^3 - 41x^2 - 98x - 36$$ $\mathrm{USp}(4)$ $0$
709.a.709.1 709.a $$y^2 + xy = x^5 - 2x^2 + x$$ $\mathrm{USp}(4)$ $0$
713.a.713.1 713.a $$y^2 + (x^3 + x + 1)y = -x^5 - x$$ $\mathrm{USp}(4)$ $1$
713.b.713.1 713.b $$y^2 + (x^3 + x + 1)y = -x^4$$ $\mathrm{USp}(4)$ $0$
726.a.1452.1 726.a $$y^2 + (x^2 + 1)y = 2x^5 + 2x^4 + 6x^3 - 2x^2 - x$$ $\mathrm{SU}(2)\times\mathrm{SU}(2)$ $0$
731.a.12427.1 731.a $$y^2 + (x^3 + x^2)y = x^5 + 2x^4 - x - 3$$ $\mathrm{USp}(4)$ $0$