## Results (13 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
448.4-b4 448.4-b $$\Q(\sqrt{-7})$$ $$2^{6} \cdot 7$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}-{x}^{2}-40{x}-84$
1792.5-a4 1792.5-a $$\Q(\sqrt{-7})$$ $$2^{8} \cdot 7$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+{x}^{2}-40{x}+84$
3584.4-b4 3584.4-b $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(-40a+80\right){x}-84a-168$
3584.7-b4 3584.7-b $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(40a+40\right){x}+84a-252$
6272.4-d4 6272.4-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(a+282\right){x}+1458a-588$
6272.5-d4 6272.5-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(a+282\right){x}-1458a+588$
7168.5-g4 7168.5-g $$\Q(\sqrt{-7})$$ $$2^{10} \cdot 7$$ $1$ $\Z/4\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(-40a+80\right){x}+84a+168$
7168.7-g4 7168.7-g $$\Q(\sqrt{-7})$$ $$2^{10} \cdot 7$$ $1$ $\Z/4\Z$ ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(40a+40\right){x}-84a+252$
25088.4-j4 25088.4-j $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(282a-565\right){x}+3221a-4091$
25088.7-j4 25088.7-j $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(-282a-283\right){x}-3221a-870$
28672.7-d4 28672.7-d $$\Q(\sqrt{-7})$$ $$2^{12} \cdot 7$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-{x}^{2}-161{x}+833$
28672.7-p4 28672.7-p $$\Q(\sqrt{-7})$$ $$2^{12} \cdot 7$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+{x}^{2}-161{x}-833$
36288.4-f4 36288.4-f $$\Q(\sqrt{-7})$$ $$2^{6} \cdot 3^{4} \cdot 7$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}-363{x}+2630$