## Results (11 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
4.1-a9 4.1-a $$\Q(\sqrt{17})$$ $$2^{2}$$ $0$ $\Z/6\Z$ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-12a-20\right){x}-28a-44$
32.3-a9 32.3-a $$\Q(\sqrt{17})$$ $$2^{5}$$ $0$ $\Z/4\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-20a-62\right){x}+44a+139$
32.4-a9 32.4-a $$\Q(\sqrt{17})$$ $$2^{5}$$ $0$ $\Z/2\Z$ ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(-77a-132\right){x}-619a-988$
128.5-b9 128.5-b $$\Q(\sqrt{17})$$ $$2^{7}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-373a-592\right){x}+5721a+8920$
128.5-c9 128.5-c $$\Q(\sqrt{17})$$ $$2^{7}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(149a-404\right){x}+1359a-3561$
128.6-b9 128.6-b $$\Q(\sqrt{17})$$ $$2^{7}$$ $0$ $\Z/2\Z$ ${y}^2+a{x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(10a-129\right){x}+211a-247$
128.6-c9 128.6-c $$\Q(\sqrt{17})$$ $$2^{7}$$ $0$ $\Z/2\Z$ ${y}^2+a{x}{y}={x}^{3}+\left(-1656a-2588\right){x}+51666a+80680$
256.1-b9 256.1-b $$\Q(\sqrt{17})$$ $$2^{8}$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(-175a-348\right){x}+1936a+2788$
324.1-e9 324.1-e $$\Q(\sqrt{17})$$ $$2^{2} \cdot 3^{4}$$ $0$ $\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(-99a-197\right){x}+940a+1373$
676.4-i9 676.4-i $$\Q(\sqrt{17})$$ $$2^{2} \cdot 13^{2}$$ $1$ $\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(2806a-7189\right){x}+114963a-294484$
676.5-i9 676.5-i $$\Q(\sqrt{17})$$ $$2^{2} \cdot 13^{2}$$ $1$ $\Z/2\Z$ ${y}^2+{x}{y}+a{y}={x}^{3}+\left(330a-875\right){x}+4885a-12459$