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
13122.1-b4 13122.1-b $4$
$21$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
13122.1
\( 2 \cdot 3^{8} \)
\( 2^{2} \cdot 3^{12} \)
$1.91280$
$(a+1), (3)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 7$
3B.1.1 , 7B $1$
\( 2 \cdot 3 \)
$0.440024781$
$4.084396538$
2.396314257
\( \frac{3375}{2} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 3\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+3{x}-1$
13122.1-c4 13122.1-c $4$
$21$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
13122.1
\( 2 \cdot 3^{8} \)
\( 2^{2} \cdot 3^{24} \)
$1.91280$
$(a+1), (3)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 7$
3B.1.2 , 7B.2.1 $1$
\( 2 \)
$1$
$1.361465512$
2.722931025
\( \frac{3375}{2} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( 26\) , \( -1\bigr] \) ${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}+26{x}-1$
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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.
