## Results (10 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
4.1-a2 4.1-a $$\Q(\sqrt{57})$$ $$2^{2}$$ $0$ $\mathsf{trivial}$ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-71396a-233865\right){x}+20071185a+65731670$
4.1-d2 4.1-d $$\Q(\sqrt{57})$$ $$2^{2}$$ $0$ $\mathsf{trivial}$ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(642628a-2747187\right){x}+545795628a-2333231135$
36.1-b2 36.1-b $$\Q(\sqrt{57})$$ $$2^{2} \cdot 3^{2}$$ $0$ $\Z/3\Z$ ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(5674a-29613\right){x}-560830a+2247997$
36.1-f2 36.1-f $$\Q(\sqrt{57})$$ $$2^{2} \cdot 3^{2}$$ $0$ $\mathsf{trivial}$ ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-64690451a-211855871\right){x}+550295059293a+1802170764457$
128.5-c2 128.5-c $$\Q(\sqrt{57})$$ $$2^{7}$$ $0$ $\mathsf{trivial}$ ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-2811454a-9207370\right){x}+4982304576a+16316634679$
128.5-j2 128.5-j $$\Q(\sqrt{57})$$ $$2^{7}$$ $1$ $\mathsf{trivial}$ ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(1044512a-4465409\right){x}-1129233268a+4827376713$
128.6-c2 128.6-c $$\Q(\sqrt{57})$$ $$2^{7}$$ $0$ $\mathsf{trivial}$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-115777a-381257\right){x}-42294261a-138472621$
128.6-j2 128.6-j $$\Q(\sqrt{57})$$ $$2^{7}$$ $1$ $\mathsf{trivial}$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(25303280a-108169436\right){x}+134641581530a-575581615086$
256.1-a2 256.1-a $$\Q(\sqrt{57})$$ $$2^{8}$$ $0$ $\mathsf{trivial}$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(10282065a-43955062\right){x}-34876683146a+149094933468$
256.1-r2 256.1-r $$\Q(\sqrt{57})$$ $$2^{8}$$ $0$ $\mathsf{trivial}$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(-1142335a-3741902\right){x}-1289440094a-4222819768$