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-j6
2100.1-j
$8$
$16$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{6} \)
$2.484180294$
$0.185677287$
3.220936965
\( \frac{378499465220294881}{120530818800} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( 75350 a - 210981\) , \( 17130038 a - 47821985\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+\left(75350a-210981\right){x}+17130038a-47821985$
2100.1-v6
2100.1-v
$8$
$16$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{8} \cdot 3^{32} \cdot 5^{4} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{10} \)
$1$
$1.052538541$
3.674923837
\( \frac{378499465220294881}{120530818800} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -15070\) , \( 710612\bigr] \)
${y}^2+{x}{y}={x}^{3}-15070{x}+710612$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.