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Results (3 matches)

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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
450.1-a2 450.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/6\Z$ $\mathrm{SU}(2)$ $1$ $11.23555713$ 0.662061553 \( \frac{357911}{2160} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 1\) , \( 2\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+{x}+2$
3600.1-g2 3600.1-g \(\Q(\sqrt{2}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $2.683744567$ 2.846540973 \( \frac{357911}{2160} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( 6\) , \( -18\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}+6{x}-18$
4050.1-a2 4050.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/4\Z$ $\mathrm{SU}(2)$ $1$ $1.789163044$ 1.265129321 \( \frac{357911}{2160} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( 13\) , \( -61\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+13{x}-61$
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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.