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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
49.1-a1 49.1-a \(\Q(\sqrt{5}) \) \( 7^{2} \) $0$ $\mathsf{trivial}$ $1$ $1.045448192$ 0.467538645 \( -\frac{2887553024}{16807} \) \( \bigl[0\) , \( -\phi + 1\) , \( 1\) , \( -30 \phi - 29\) , \( -102 \phi - 84\bigr] \) ${y}^2+{y}={x}^{3}+\left(-\phi+1\right){x}^{2}+\left(-30\phi-29\right){x}-102\phi-84$
49.1-a2 49.1-a \(\Q(\sqrt{5}) \) \( 7^{2} \) $0$ $\Z/5\Z$ $1$ $26.13620482$ 0.467538645 \( \frac{4096}{7} \) \( \bigl[0\) , \( \phi\) , \( 1\) , \( 1\) , \( 0\bigr] \) ${y}^2+{y}={x}^{3}+\phi{x}^{2}+{x}$
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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.