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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
71.3-a2 71.3-a \(\Q(\zeta_{7})^+\) \( 71 \) 0 $\Z/10\Z$ $\mathrm{SU}(2)$ $1$ $411.2009097$ 0.587429871 \( \frac{2121}{71} a^{2} - \frac{713073}{71} a + \frac{1242209}{71} \) \( \bigl[1\) , \( a^{2} - 2\) , \( a^{2} - 1\) , \( -a^{2} + 1\) , \( 0\bigr] \) ${y}^2+{x}{y}+\left(a^{2}-1\right){y}={x}^{3}+\left(a^{2}-2\right){x}^{2}+\left(-a^{2}+1\right){x}$
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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.