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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
625.3-CMb1 625.3-CMb \(\Q(\sqrt{-1}) \) \( 5^{4} \) 0 $\Z/2\Z$ $-4$ $\mathrm{U}(1)$ $1$ $1.839085544$ 1.839085544 \( 1728 \) \( \bigl[i + 1\) , \( i\) , \( 1\) , \( -13 i + 5\) , \( 3 i + 6\bigr] \) ${y}^2+\left(i+1\right){x}{y}+{y}={x}^{3}+i{x}^{2}+\left(-13i+5\right){x}+3i+6$
625.3-CMa1 625.3-CMa \(\Q(\sqrt{-1}) \) \( 5^{4} \) 0 $\Z/2\Z$ $-4$ $\mathrm{U}(1)$ $1$ $1.839085544$ 1.839085544 \( 1728 \) \( \bigl[i + 1\) , \( i\) , \( i\) , \( 12 i + 6\) , \( 3 i - 6\bigr] \) ${y}^2+\left(i+1\right){x}{y}+i{y}={x}^{3}+i{x}^{2}+\left(12i+6\right){x}+3i-6$
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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.