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-n7
2100.1-n
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{6} \cdot 5^{24} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.1
$1$
\( 2^{7} \cdot 3^{3} \)
$1.815606937$
$0.346133997$
6.582603280
\( \frac{9150443179640281}{184570312500} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -4358\) , \( -109132\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-4358{x}-109132$
2100.1-bl7
2100.1-bl
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{6} \cdot 5^{24} \cdot 7^{2} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.2
$4$
\( 2^{5} \)
$1$
$1.021919351$
1.784008679
\( \frac{9150443179640281}{184570312500} \)
\( \bigl[a + 1\) , \( -a + 1\) , \( a\) , \( -21789 a - 39218\) , \( 2597374 a + 4653447\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(-21789a-39218\right){x}+2597374a+4653447$
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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.