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-n12
2100.1-n
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( - 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{3} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.2
$4$
\( 2^{4} \cdot 3^{2} \)
$10.89364162$
$0.009614833$
6.582603280
\( \frac{679348670139067650666564663877375333}{229687500} a + \frac{486763606808159200487213746225932511}{91875000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -1149680 a - 2410633\) , \( -1101560992 a - 2053365692\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+\left(-1149680a-2410633\right){x}-1101560992a-2053365692$
2100.1-bl12
2100.1-bl
$12$
$24$
\(\Q(\sqrt{21}) \)
$2$
$[2, 0]$
2100.1
\( 2^{2} \cdot 3 \cdot 5^{2} \cdot 7 \)
\( - 2^{6} \cdot 3 \cdot 5^{10} \cdot 7^{3} \)
$2.77206$
$(-a+2), (-a), (-a+1), (a+3), (2)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 3$
2B , 3B.1.1
$16$
\( 2^{2} \cdot 3^{2} \)
$1$
$0.510959675$
1.784008679
\( \frac{679348670139067650666564663877375333}{229687500} a + \frac{486763606808159200487213746225932511}{91875000} \)
\( \bigl[a\) , \( 1\) , \( a + 1\) , \( 1706042 a - 5006856\) , \( -1911947904 a + 5383175451\bigr] \)
${y}^2+a{x}{y}+\left(a+1\right){y}={x}^{3}+{x}^{2}+\left(1706042a-5006856\right){x}-1911947904a+5383175451$
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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.