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-n4
2100.1-n
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{24} \cdot 5^{6} \cdot 7^{8} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/12\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{7} \cdot 3^{3} \)
$1.815606937$
$0.346133997$
6.582603280
\( \frac{785793873833639}{637994920500} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( 1922\) , \( 20756\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+1922{x}+20756$
2100.1-bl4
2100.1-bl
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{4} \cdot 3^{24} \cdot 5^{6} \cdot 7^{8} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$4$
\( 2^{5} \)
$1$
$0.255479837$
1.784008679
\( \frac{785793873833639}{637994920500} \)
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( -9613 a + 26914\) , \( 488537 a - 1363755\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(-9613a+26914\right){x}+488537a-1363755$
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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.