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## Results (12 matches)

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Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
1536.1-a1 1536.1-a $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3$$ $0$ $\Z/4\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(2450a-4241\right){x}-86241a+149373$
1536.1-c1 1536.1-c $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(34114a-59087\right){x}-4482861a+7764543$
1536.1-v1 1536.1-v $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(2450a-4241\right){x}+86241a-149373$
1536.1-x1 1536.1-x $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(34114a-59087\right){x}+4482861a-7764543$
3072.1-c1 3072.1-c $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a+1\right){x}^{2}+\left(96a-160\right){x}+632a-1096$
3072.1-h1 3072.1-h $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(a-1\right){x}^{2}+\left(1312a-2272\right){x}+32872a-56936$
3072.1-bx1 3072.1-bx $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $1$ $\Z/4\Z$ ${y}^2={x}^{3}+\left(-a-1\right){x}^{2}+\left(96a-160\right){x}-632a+1096$
3072.1-cb1 3072.1-cb $$\Q(\sqrt{3})$$ $$2^{10} \cdot 3$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}+\left(-a+1\right){x}^{2}+\left(1312a-2272\right){x}-32872a+56936$
4608.1-b1 4608.1-b $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(102344a-177264\right){x}-23395972a+40523012$
4608.1-c1 4608.1-c $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3^{2}$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(7348a-12726\right){x}-455468a+788894$
4608.1-bc1 4608.1-bc $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3^{2}$$ $0$ $\Z/2\Z$ ${y}^2={x}^{3}+a{x}^{2}+\left(102344a-177264\right){x}+23395972a-40523012$
4608.1-bf1 4608.1-bf $$\Q(\sqrt{3})$$ $$2^{9} \cdot 3^{2}$$ $1$ $\Z/2\Z$ ${y}^2={x}^{3}-a{x}^{2}+\left(7348a-12726\right){x}+455468a-788894$
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*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.