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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-a7 450.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/12\Z$ $\mathrm{SU}(2)$ $1$ $11.23555713$ 0.662061553 \( \frac{2656166199049}{33750} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -289\) , \( 1862\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-289{x}+1862$
3600.1-g7 3600.1-g \(\Q(\sqrt{2}) \) \( 2^{4} \cdot 3^{2} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.670936141$ 2.846540973 \( \frac{2656166199049}{33750} \) \( \bigl[a\) , \( -1\) , \( 0\) , \( -1154\) , \( -14898\bigr] \) ${y}^2+a{x}{y}={x}^{3}-{x}^{2}-1154{x}-14898$
4050.1-a7 4050.1-a \(\Q(\sqrt{2}) \) \( 2 \cdot 3^{4} \cdot 5^{2} \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.447290761$ 1.265129321 \( \frac{2656166199049}{33750} \) \( \bigl[1\) , \( -1\) , \( 1\) , \( -2597\) , \( -50281\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}-2597{x}-50281$
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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.