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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
30000.1-b2 30000.1-b \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 5^{4} \) $1$ $\mathsf{trivial}$ $\mathrm{SU}(2)$ $0.114155808$ $1.800705561$ 2.848336760 \( -\frac{40960}{27} \) \( \bigl[0\) , \( -1\) , \( 0\) , \( -13\) , \( -23\bigr] \) ${y}^2={x}^{3}-{x}^{2}-13{x}-23$
30000.1-c2 30000.1-c \(\Q(\sqrt{-3}) \) \( 2^{4} \cdot 3 \cdot 5^{4} \) 0 $\Z/3\Z$ $\mathrm{SU}(2)$ $1$ $0.360141112$ 2.495130817 \( -\frac{40960}{27} \) \( \bigl[0\) , \( -a\) , \( 0\) , \( -333 a + 333\) , \( -3537\bigr] \) ${y}^2={x}^{3}-a{x}^{2}+\left(-333a+333\right){x}-3537$
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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.