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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
126.1-a8 126.1-a \(\Q(\sqrt{7}) \) \( 2 \cdot 3^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.155430454$ 3.759820155 \( \frac{9010577383592310868608127}{42} a + 567613022049721543828200 \) \( \bigl[a\) , \( 0\) , \( 0\) , \( -3810 a - 11423\) , \( -228018 a - 623037\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-3810a-11423\right){x}-228018a-623037$
126.1-f8 126.1-f \(\Q(\sqrt{7}) \) \( 2 \cdot 3^{2} \cdot 7 \) $1$ $\Z/4\Z$ $\mathrm{SU}(2)$ $2.310811814$ $6.039367514$ 2.637406196 \( \frac{9010577383592310868608127}{42} a + 567613022049721543828200 \) \( \bigl[1\) , \( 1\) , \( 1\) , \( -3810 a - 11424\) , \( 224208 a + 611613\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+\left(-3810a-11424\right){x}+224208a+611613$
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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.