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## Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Weierstrass equation
4225.2-a1 4225.2-a $$\Q(\sqrt{-3})$$ $$5^{2} \cdot 13^{2}$$ $2$ $\Z/2\Z$ ${y}^2+{x}{y}={x}^{3}+4{x}+1$
54925.2-a1 54925.2-a $$\Q(\sqrt{-3})$$ $$5^{2} \cdot 13^{3}$$ $0$ $\Z/2\Z$ ${y}^2+{x}{y}={x}^{3}-a{x}^{2}+\left(32a-60\right){x}+36a+17$
54925.3-a1 54925.3-a $$\Q(\sqrt{-3})$$ $$5^{2} \cdot 13^{3}$$ $0$ $\Z/2\Z$ ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-28a+60\right){x}-36a+53$
105625.2-e1 105625.2-e $$\Q(\sqrt{-3})$$ $$5^{4} \cdot 13^{2}$$ $1$ $\Z/2\Z$ ${y}^2+a{x}{y}={x}^{3}+\left(a-1\right){x}^{2}-100a{x}+125$
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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.