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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-n8 2100.1-n \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/12\Z$ $\mathrm{SU}(2)$ $0.453901734$ $5.538143964$ 6.582603280 \( \frac{13619385906841}{6048000} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( -498\) , \( 4228\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-498{x}+4228$
2100.1-bl8 2100.1-bl \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $1.021919351$ 1.784008679 \( \frac{13619385906841}{6048000} \) \( \bigl[a\) , \( 1\) , \( a + 1\) , \( 2487 a - 6966\) , \( 103965 a - 290259\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(2487a-6966\right){x}+103965a-290259$
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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.