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-d6
2100.1-d
$8$
$12$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.1
$1$
\( 2^{7} \cdot 3^{2} \)
$0.362952386$
$3.961791124$
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
$8$
$12$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{12} \cdot 3^{12} \cdot 5^{4} \cdot 7^{4} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.2
$1$
\( 2^{6} \cdot 3 \)
$1$
$1.201183572$
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.