## Results (21 matches)

displayed columns for results
Label Class Conductor Rank Torsion CM Weierstrass equation
585.a1 585.a $$3^{2} \cdot 5 \cdot 13$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-3x+18$$
585.b1 585.b $$3^{2} \cdot 5 \cdot 13$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-1713x-28022$$
585.c1 585.c $$3^{2} \cdot 5 \cdot 13$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3-597x+8820$$
585.d1 585.d $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-3593x+83782$$
585.d2 585.d $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy+y=x^3-x^2-218x+1432$$
585.e1 585.e $$3^{2} \cdot 5 \cdot 13$$ $0$ $\mathsf{trivial}$ $$y^2+y=x^3-378x-2842$$
585.e2 585.e $$3^{2} \cdot 5 \cdot 13$$ $0$ $\Z/3\Z$ $$y^2+y=x^3+12x-21$$
585.f1 585.f $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/3\Z$ $$y^2+y=x^3-42x+105$$
585.f2 585.f $$3^{2} \cdot 5 \cdot 13$$ $1$ $\mathsf{trivial}$ $$y^2+y=x^3+108x+560$$
585.g1 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-1170000x+487402461$$
585.g2 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-73125x+7629336$$
585.g3 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-71370x+8011575$$
585.g4 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-4680x+114075$$
585.g5 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ $$y^2+xy=x^3-x^2-1035x-10584$$
585.g6 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-990x-11745$$
585.g7 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2+1890x-61479$$
585.g8 585.g $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2+5445x+533250$$
585.h1 585.h $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-9x$$
585.h2 585.h $$3^{2} \cdot 5 \cdot 13$$ $1$ $\Z/2\Z$ $$y^2+xy=x^3-x^2+36x-27$$
585.i1 585.i $$3^{2} \cdot 5 \cdot 13$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-399x-2970$$
585.i2 585.i $$3^{2} \cdot 5 \cdot 13$$ $0$ $\Z/2\Z$ $$y^2+xy=x^3-x^2-24x-45$$
displayed columns for results