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
11.1-a1 11.1-a $3$
$25$
\(\Q(\zeta_{11})^+\) $5$
$[5, 0]$
11.1
\( 11 \)
\( - 11^{5} \)
$13.74242$
$(a^2+a-2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$5$
5B.1.2 $15625$
\( 5 \)
$1$
$0.001053940$
0.680488632
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7820\) , \( -263580\bigr] \) ${y}^2+{y}={x}^{3}-{x}^{2}-7820{x}-263580$
121.1-c1 121.1-c $3$
$25$
\(\Q(\zeta_{11})^+\) $5$
$[5, 0]$
121.1
\( 11^{2} \)
\( - 11^{11} \)
$17.46636$
$(a^2+a-2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$5$
5B.4.2 $1$
\( 2 \)
$1$
$63.74661725$
1.05366309
\( -\frac{52893159101157376}{11} \)
\( \bigl[0\) , \( a - 1\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -7820 a^{2} - 31282 a - 31281\) , \( -a^{4} + 263579 a^{3} + 1589301 a^{2} + 3194239 a + 2139918\bigr] \) ${y}^2+\left(a^{3}+a^{2}-2a-1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-7820a^{2}-31282a-31281\right){x}-a^{4}+263579a^{3}+1589301a^{2}+3194239a+2139918$
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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.
