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-r4
2100.1-r
$6$
$8$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{16} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$4$
\( 2^{6} \)
$0.155914135$
$1.194089962$
5.200233698
\( \frac{5602762882081}{345888060} \)
\( \bigl[a\) , \( a + 1\) , \( 1\) , \( 1852 a - 5176\) , \( 62146 a - 173515\bigr] \)
${y}^2+a{x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(1852a-5176\right){x}+62146a-173515$
2100.1-z4
2100.1-z
$6$
$8$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{2} \cdot 5^{2} \cdot 7^{16} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$1$
$2.813611833$
2.455921752
\( \frac{5602762882081}{345888060} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -370\) , \( 2435\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-370{x}+2435$
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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.