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Results (4 matches)

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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
4225.1-a1 4225.1-a \(\Q(\sqrt{3}) \) \( 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.819087883$ $6.464450893$ 6.114085539 \( \frac{6967871}{4225} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( 4\) , \( -1\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+4{x}-1$
4225.1-a2 4225.1-a \(\Q(\sqrt{3}) \) \( 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $1.638175766$ $25.85780357$ 6.114085539 \( \frac{117649}{65} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-{x}$
4225.1-b1 4225.1-b \(\Q(\sqrt{3}) \) \( 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.187757049$ $7.243777871$ 1.570473975 \( \frac{6967871}{4225} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 4\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}+4{x}+1$
4225.1-b2 4225.1-b \(\Q(\sqrt{3}) \) \( 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $0.375514098$ $28.97511148$ 1.570473975 \( \frac{117649}{65} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 0\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}$
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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.