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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
196.1-e1 196.1-e \(\Q(\sqrt{57}) \) \( 2^{2} \cdot 7^{2} \) $0$ $\Z/6\Z$ $1$ $7.027708105$ 8.377584104 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( -a\) , \( a\) , \( -2059892 a - 6745970\) , \( 3138470553 a + 10278231250\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-a{x}^{2}+\left(-2059892a-6745970\right){x}+3138470553a+10278231250$
196.1-h1 196.1-h \(\Q(\sqrt{57}) \) \( 2^{2} \cdot 7^{2} \) $0$ $\Z/2\Z$ $1$ $0.436190660$ 0.519973779 \( -\frac{548347731625}{1835008} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$
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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.