## Results (14 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
1764.1-a1 1764.1-a $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(\phi+1\right){x}{y}={x}^{3}+\left(-\phi-1\right){x}^{2}+\left(64\phi+64\right){x}-64\phi-48$
1764.1-a2 1764.1-a $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(\phi+1\right){x}{y}={x}^{3}+\left(-\phi-1\right){x}^{2}+\left(-16\phi-16\right){x}$
1764.1-b1 1764.1-b $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\phi{x}{y}+\left(\phi+1\right){y}={x}^{3}+\left(-25\phi-58\right){x}+82\phi-58$
1764.1-b2 1764.1-b $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+{x}{y}+\left(\phi+1\right){y}={x}^{3}+\left(4\phi-16\right){x}+9\phi-26$
1764.1-c1 1764.1-c $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+{x}{y}+\phi{y}={x}^{3}+\left(-5\phi-11\right){x}-10\phi-16$
1764.1-c2 1764.1-c $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(\phi+1\right){x}{y}+\phi{y}={x}^{3}-\phi{x}^{2}+\left(23\phi-82\right){x}-83\phi+25$
1764.1-d1 1764.1-d $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(\phi+1\right){x}{y}+\left(\phi+1\right){y}={x}^{3}+\phi{x}^{2}+\left(-14\phi-14\right){x}-314\phi-232$
1764.1-d2 1764.1-d $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\phi{x}{y}+\left(\phi+1\right){y}={x}^{3}+\left(\phi-1\right){x}^{2}+\left(33\phi-68\right){x}+113\phi-208$
1764.1-e1 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/8\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-4{x}+5$
1764.1-e2 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+386{x}+1277$
1764.1-e3 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/2\Z\oplus\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-104{x}+101$
1764.1-e4 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/2\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-914{x}-10915$
1764.1-e5 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/2\Z\oplus\Z/4\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-84{x}+261$
1764.1-e6 1764.1-e $$\Q(\sqrt{5})$$ $$2^{2} \cdot 3^{2} \cdot 7^{2}$$ $1$ $\Z/4\Z$ ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-1344{x}+18405$