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
26244.5-b4 26244.5-b $4$
$21$
\(\Q(\sqrt{-11}) \) $2$
$[0, 1]$
26244.5
\( 2^{2} \cdot 3^{8} \)
\( 2^{2} \cdot 3^{24} \)
$3.77218$
$(-a), (a-1), (2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 7$
3B.1.2 , 7B.2.1 $1$
\( 1 \)
$1$
$1.361465512$
0.820994594
\( \frac{3375}{2} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 25\) , \( 1\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+25{x}+1$
26244.5-c4 26244.5-c $4$
$21$
\(\Q(\sqrt{-11}) \) $2$
$[0, 1]$
26244.5
\( 2^{2} \cdot 3^{8} \)
\( 2^{2} \cdot 3^{12} \)
$3.77218$
$(-a), (a-1), (2)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$3, 7$
3B.1.1 , 7B $1$
\( 3^{2} \)
$1$
$4.084396538$
2.462983784
\( \frac{3375}{2} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 3\) , \( -1\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+3{x}-1$
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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.
