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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-d6 2100.1-d \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/2\Z\oplus\Z/6\Z$ $\mathrm{SU}(2)$ $0.362952386$ $3.961791124$ 5.020553117 \( \frac{5203798902289}{57153600} \) \( \bigl[1\) , \( 0\) , \( 0\) , \( -361\) , \( 2585\bigr] \) ${y}^2+{x}{y}={x}^{3}-361{x}+2585$
2100.1-bk6 2100.1-bk \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z\oplus\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.201183572$ 3.145436940 \( \frac{5203798902289}{57153600} \) \( \bigl[a\) , \( 1\) , \( a\) , \( 1805 a - 5055\) , \( 63845 a - 178250\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(1805a-5055\right){x}+63845a-178250$
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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.