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Results (6 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
6050.2-a1 6050.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $1.098979844$ 0.732653229 \( -\frac{76711450249}{851840} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -89\) , \( 316\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-89{x}+316$
6050.2-a2 6050.2-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.366326614$ 0.732653229 \( \frac{2882081488391}{2883584000} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 296\) , \( 1702\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+296{x}+1702$
6050.2-b1 6050.2-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.461060840$ $5.023922189$ 3.088445052 \( -\frac{117649}{440} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -1\) , \( 1\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}+1$
6050.2-b2 6050.2-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.153686946$ $1.674640729$ 3.088445052 \( \frac{80062991}{332750} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( 9\) , \( -25\bigr] \) ${y}^2+{x}{y}={x}^{3}+9{x}-25$
6050.2-c1 6050.2-c \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.635564849$ $0.275229175$ 3.498519797 \( -\frac{23178622194826561}{1610510} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -5939\) , \( 178685\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-5939{x}+178685$
6050.2-c2 6050.2-c \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{2} \cdot 11^{2} \) $1$ $\Z/5\Z$ $\mathrm{SU}(2)$ $0.127112969$ $1.376145879$ 3.498519797 \( \frac{109902239}{1100000} \) \( \bigl[i\) , \( -1\) , \( i\) , \( 11\) , \( 45\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}+11{x}+45$
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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.