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Results (4 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
1250.3-a2 1250.3-a \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \) $1$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.324496049$ $0.854500048$ 1.109127558 \( -\frac{121945}{32} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -76\) , \( 298\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-76{x}+298$
1250.3-b2 1250.3-b \(\Q(\sqrt{-1}) \) \( 2 \cdot 5^{4} \) 0 $\Z/5\Z$ $\mathrm{SU}(2)$ $1$ $4.272500240$ 1.709000096 \( -\frac{121945}{32} \) \( \bigl[i\) , \( -1\) , \( i\) , \( -2\) , \( -1\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}-{x}^{2}-2{x}-1$
10000.3-e2 10000.3-e \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.955360097$ 1.910720194 \( -\frac{121945}{32} \) \( \bigl[i + 1\) , \( -i - 1\) , \( i + 1\) , \( -49 i - 36\) , \( 236 i + 43\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i-1\right){x}^{2}+\left(-49i-36\right){x}+236i+43$
10000.3-f2 10000.3-f \(\Q(\sqrt{-1}) \) \( 2^{4} \cdot 5^{4} \) 0 $\mathsf{trivial}$ $\mathrm{SU}(2)$ $1$ $0.955360097$ 1.910720194 \( -\frac{121945}{32} \) \( \bigl[i + 1\) , \( -i + 1\) , \( i + 1\) , \( 47 i - 36\) , \( 236 i - 43\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(47i-36\right){x}+236i-43$
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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.