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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
612.1-l6 612.1-l \(\Q(\sqrt{17}) \) \( 2^{2} \cdot 3^{2} \cdot 17 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $1.335301991$ $7.762158097$ 1.675892899 \( \frac{1845026709625}{793152} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -256\) , \( 1550\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-256{x}+1550$
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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.