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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-n4 2100.1-n \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) $1$ $\Z/12\Z$ $\mathrm{SU}(2)$ $1.815606937$ $0.346133997$ 6.582603280 \( \frac{785793873833639}{637994920500} \) \( \bigl[1\) , \( 0\) , \( 1\) , \( 1922\) , \( 20756\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}+1922{x}+20756$
2100.1-bl4 2100.1-bl \(\Q(\sqrt{21}) \) \( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \) 0 $\Z/2\Z$ $\mathrm{SU}(2)$ $1$ $0.255479837$ 1.784008679 \( \frac{785793873833639}{637994920500} \) \( \bigl[a\) , \( 1\) , \( a + 1\) , \( -9613 a + 26914\) , \( 488537 a - 1363755\bigr] \) ${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-9613a+26914\right){x}+488537a-1363755$
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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.