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-a2
11.1-a
$3$
$25$
\(\Q(\zeta_{11})^+\)
$5$
$[5, 0]$
11.1
\( 11 \)
\( - 11^{25} \)
$13.74242$
$(a^2+a-2)$
0
$\Z/5\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$5$
5Cs.1.1
$25$
\( 5^{2} \)
$1$
$3.293564976$
0.680488632
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -10\) , \( -20\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-10{x}-20$
121.1-c2
121.1-c
$3$
$25$
\(\Q(\zeta_{11})^+\)
$5$
$[5, 0]$
121.1
\( 11^{2} \)
\( - 11^{31} \)
$17.46636$
$(a^2+a-2)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$5$
5Cs.4.1
$1$
\( 2 \)
$1$
$63.74661725$
1.05366309
\( -\frac{122023936}{161051} \)
\( \bigl[0\) , \( a - 1\) , \( a^{3} + a^{2} - 2 a - 1\) , \( -10 a^{2} - 42 a - 41\) , \( -a^{4} + 19 a^{3} + 131 a^{2} + 279 a + 198\bigr] \)
${y}^2+\left(a^{3}+a^{2}-2a-1\right){y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10a^{2}-42a-41\right){x}-a^{4}+19a^{3}+131a^{2}+279a+198$
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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.