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Label Class Base field Conductor norm Rank Torsion CM Sato-Tate Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
2420.1-b2 2420.1-b \(\Q(\sqrt{5}) \) \( 2^{2} \cdot 5 \cdot 11^{2} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $1.848353945$ 1.653218027 \( \frac{109902239}{1100000} \) \( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -45\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+10{x}-45$
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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.