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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
4225.2-a1 4225.2-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 13^{2} \) $2$ $\Z/2\Z$ $0.038447381$ $3.421514516$ 1.215190886 \( \frac{6967871}{4225} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 4\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+4{x}+1$
4225.2-a2 4225.2-a \(\Q(\sqrt{-3}) \) \( 5^{2} \cdot 13^{2} \) $2$ $\Z/2\Z$ $0.153789524$ $6.843029032$ 1.215190886 \( \frac{117649}{65} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}$
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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.