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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-n1 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 \( \frac{30861084894361475}{6639980697856} a + \frac{6520918061639743}{6639980697856} \) \( \bigl[1\) , \( a - 1\) , \( a + 1\) , \( -1045 a - 454\) , \( -19530 a + 10059\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-1045a-454\right){x}-19530a+10059$
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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.