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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
361.1-a2 361.1-a \(\Q(\sqrt{-1}) \) \( 19^{2} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $2.805927025$ 0.935309008 \( -\frac{89915392}{6859} \) \( \bigl[0\) , \( 1\) , \( 1\) , \( -9\) , \( -15\bigr] \) ${y}^2+{y}={x}^{3}+{x}^{2}-9{x}-15$
29241.1-b2 29241.1-b \(\Q(\sqrt{-1}) \) \( 3^{4} \cdot 19^{2} \) $2$ $\Z/3\Z$ $\mathrm{SU}(2)$ $0.622939939$ $0.935309008$ 3.107420464 \( -\frac{89915392}{6859} \) \( \bigl[0\) , \( 0\) , \( i\) , \( -84\) , \( -315\bigr] \) ${y}^2+i{y}={x}^{3}-84{x}-315$
92416.1-b2 92416.1-b \(\Q(\sqrt{-1}) \) \( 2^{8} \cdot 19^{2} \) $2$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.151745901$ $1.402963512$ 5.109455107 \( -\frac{89915392}{6859} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -37\) , \( -81\bigr] \) ${y}^2={x}^{3}-{x}^{2}-37{x}-81$
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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.