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Label Class Base field Conductor norm Rank Torsion CM Regulator Period Leading coeff j-invariant Weierstrass coefficients Weierstrass equation
605.1-c4 605.1-c \(\Q(\sqrt{5}) \) \( 5 \cdot 11^{2} \) $1$ $\Z/2\Z\oplus\Z/2\Z$ $0.596122623$ $4.232646692$ 1.128398811 \( \frac{2749884201}{73205} \) \( \bigl[1\) , \( -1\) , \( 0\) , \( -29\) , \( -52\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}-29{x}-52$
3025.1-b4 3025.1-b \(\Q(\sqrt{5}) \) \( 5^{2} \cdot 11^{2} \) $0$ $\Z/2\Z\oplus\Z/2\Z$ $1$ $5.299986074$ 2.370225828 \( \frac{2749884201}{73205} \) \( \bigl[\phi + 1\) , \( 1\) , \( 0\) , \( -145 \phi - 145\) , \( 1040 \phi + 780\bigr] \) ${y}^2+\left(\phi+1\right){x}{y}={x}^{3}+{x}^{2}+\left(-145\phi-145\right){x}+1040\phi+780$
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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.