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-r2
2100.1-r
$6$
$8$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$0.155914135$
$4.776359849$
5.200233698
\( \frac{109902239}{188160} \)
\( \bigl[a + 1\) , \( a - 1\) , \( a + 1\) , \( 50 a + 92\) , \( 498 a + 891\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(50a+92\right){x}+498a+891$
2100.1-z2
2100.1-z
$6$
$8$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{16} \cdot 3^{2} \cdot 5^{2} \cdot 7^{4} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$1$
$2.813611833$
2.455921752
\( \frac{109902239}{188160} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 10\) , \( -13\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}+10{x}-13$
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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.