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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
71148.2-b4 71148.2-b \(\Q(\sqrt{-3}) \) \( 2^{2} \cdot 3 \cdot 7^{2} \cdot 11^{2} \) $1$ $\Z/2\Z$ $\mathrm{SU}(2)$ $2.176298867$ $0.068658501$ 3.450739881 \( \frac{86129359107301290313}{9166294368} \) \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -92004 a + 92003\) , \( 10795092\bigr] \) ${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-92004a+92003\right){x}+10795092$
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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.