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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
2100.1-d1 2100.1-d \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/6\Z$ $\mathrm{SU}(2)$ $0.725904772$ $0.990447781$ 5.020553117 \( -\frac{58818484369}{18600435000} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -81\) , \( 6561\bigr] \) ${y}^2+{x}{y}={x}^{3}-81{x}+6561$
2100.1-bk1 2100.1-bk \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.300295893$ 3.145436940 \( -\frac{58818484369}{18600435000} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 405 a - 1135\) , \( 157869 a - 440722\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(405a-1135\right){x}+157869a-440722$
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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.