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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
23716.5-n2 23716.5-n \(\Q(\sqrt{-7}) \) \( 2^{2} \cdot 7^{2} \cdot 11^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.195608169$ 4.731708082 \( -\frac{30861084894361475}{6639980697856} a + \frac{18691001478000609}{3319990348928} \) \( \bigl[1\) , \( -a\) , \( a\) , \( 1044 a - 1498\) , \( 19529 a - 9470\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(1044a-1498\right){x}+19529a-9470$
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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.