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
121.1-CMa1
121.1-CMa
$1$
$1$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
121.1
\( 11^{2} \)
\( 11^{6} \)
$0.98295$
$(-2a+1)$
$2$
$\mathsf{trivial}$
$\textsf{yes}$
$-11$
$\mathrm{U}(1)$
✓
✓
✓
$11$
11B.1.5[2]
$1$
\( 2^{2} \)
$0.022168779$
$3.476915842$
0.743685978
\( -32768 \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7\) , \( 10\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-7{x}+10$
121.1-a1
121.1-a
$2$
$11$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
121.1
\( 11^{2} \)
\( 11^{4} \)
$0.98295$
$(-2a+1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.4[2]
$1$
\( 1 \)
$1$
$2.817702048$
1.699138266
\( -24729001 \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-30{x}-76$
121.1-a2
121.1-a
$2$
$11$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$0.98295$
$(-2a+1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.9[2]
$1$
\( 1 \)
$1$
$2.817702048$
1.699138266
\( -121 \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-2{x}-7$
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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.