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-n9
2100.1-n
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 7^{12} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.2
$1$
\( 2^{8} \cdot 3^{2} \)
$2.723410405$
$0.153837332$
6.582603280
\( \frac{1169975873419524361}{108425318400} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -21953\) , \( -1253644\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-21953{x}-1253644$
2100.1-bl9
2100.1-bl
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( 2^{24} \cdot 3^{4} \cdot 5^{4} \cdot 7^{12} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/2\Z\oplus\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.1
$1$
\( 2^{7} \cdot 3^{2} \)
$1$
$1.021919351$
1.784008679
\( \frac{1169975873419524361}{108425318400} \)
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 109762 a - 307336\) , \( -29977688 a + 83686795\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(109762a-307336\right){x}-29977688a+83686795$
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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.