## Results (12 matches)

Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
24.1-a1 24.1-a $$\Q(\sqrt{3})$$ $$2^{3} \cdot 3$$ $0$ $\Z/4\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+{x}^{2}+\left(1035a-1791\right){x}-23450a+40617$
24.1-b1 24.1-b $$\Q(\sqrt{3})$$ $$2^{3} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}-a{x}^{2}+\left(1033a-1794\right){x}+24484a-42410$
144.1-a1 144.1-a $$\Q(\sqrt{3})$$ $$2^{4} \cdot 3^{2}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(209a-410\right){x}+2494a-4159$
144.1-c1 144.1-c $$\Q(\sqrt{3})$$ $$2^{4} \cdot 3^{2}$$ $0$ $\Z/4\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}-{x}^{2}+\left(43232a-74880\right){x}-6451984a+11175164$
768.1-e1 768.1-e $$\Q(\sqrt{3})$$ $$2^{8} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(4138a-7169\right){x}+191739a-332103$
768.1-l1 768.1-l $$\Q(\sqrt{3})$$ $$2^{8} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(4138a-7169\right){x}-191739a+332103$
2304.1-q1 2304.1-q $$\Q(\sqrt{3})$$ $$2^{8} \cdot 3^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(172928a-299520\right){x}+51615872a-89401312$
2304.1-bb1 2304.1-bb $$\Q(\sqrt{3})$$ $$2^{8} \cdot 3^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(172928a-299520\right){x}-51615872a+89401312$
3072.1-e1 3072.1-e $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(430252a-745216\right){x}+202069724a-349995028$
3072.1-f1 3072.1-f $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-{x}^{2}+\left(30890a-53505\right){x}+3879118a-6718827$
3072.1-bt1 3072.1-bt $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+{x}^{2}+\left(30890a-53505\right){x}-3879118a+6718827$
3072.1-cc1 3072.1-cc $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(430252a-745216\right){x}-202069724a+349995028$