## Results (15 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
224.5-a3 224.5-a $$\Q(\sqrt{-7})$$ $$2^{5} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/4\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+5{x}+a-5$
784.4-a3 784.4-a $$\Q(\sqrt{-7})$$ $$2^{4} \cdot 7^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-9a-28\right){x}-32a-60$
896.4-a3 896.4-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(-13a+15\right){x}+44$
896.7-a3 896.7-a $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 7$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7a-3\right){x}+7a+3$
3584.4-a3 3584.4-a $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(30a-5\right){x}+15a+93$
6272.7-d3 6272.7-d $$\Q(\sqrt{-7})$$ $$2^{7} \cdot 7^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(46a+10\right){x}-4a-244$
7168.5-f3 7168.5-f $$\Q(\sqrt{-7})$$ $$2^{10} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(30a-5\right){x}-15a-93$
7168.7-b3 7168.7-b $$\Q(\sqrt{-7})$$ $$2^{10} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+{x}^{2}+\left(11a-42\right){x}-33a+90$
12544.5-g3 12544.5-g $$\Q(\sqrt{-7})$$ $$2^{8} \cdot 7^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(93a-110\right){x}+524a-200$
13552.10-c3 13552.10-c $$\Q(\sqrt{-7})$$ $$2^{4} \cdot 7 \cdot 11^{2}$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(-43a+25\right){x}+83a-153$
13552.12-a3 13552.12-a $$\Q(\sqrt{-7})$$ $$2^{4} \cdot 7 \cdot 11^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(32a-48\right){x}-120a+100$
18144.5-a3 18144.5-a $$\Q(\sqrt{-7})$$ $$2^{5} \cdot 3^{4} \cdot 7$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(12a+36\right){x}-60a+104$
25088.4-e3 25088.4-e $$\Q(\sqrt{-7})$$ $$2^{9} \cdot 7^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}-{x}^{2}+\left(-203a+33\right){x}-1169a+1415$
28672.7-h3 28672.7-h $$\Q(\sqrt{-7})$$ $$2^{12} \cdot 7$$ $0$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(-53a+62\right){x}+9a-246$
28672.7-w3 28672.7-w $$\Q(\sqrt{-7})$$ $$2^{12} \cdot 7$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(-53a+62\right){x}-9a+246$