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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
12675.2-b8 12675.2-b \(\Q(\sqrt{-3}) \) \( 3 \cdot 5^{2} \cdot 13^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $1.386213803$ $0.092658541$ 2.373039851 \( \frac{242970740812818720001}{24375} \) \( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -130000 a + 130000\) , \( -18051943\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-130000a+130000\right){x}-18051943$
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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.