Label
Class
Class size
Class degree
Base field
Field degree
Field signature
Conductor
Conductor norm
Discriminant norm
Root analytic conductor
Bad primes
Rank
Torsion
CM
CM
Sato-Tate
$\Q$-curve
Base change
Semistable
Potentially good
Nonmax $\ell$
mod-$\ell$ images
$Ш_{\textrm{an}}$
Tamagawa
Regulator
Period
Leading coeff
j-invariant
Weierstrass coefficients
Weierstrass equation
2100.1-d1
2100.1-d
$8$
$12$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{6} \cdot 3^{2} \)
$0.725904772$
$0.990447781$
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
$8$
$12$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{6} \cdot 3^{24} \cdot 5^{8} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{6} \cdot 3 \)
$1$
$0.300295893$
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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Pari/GP
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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.