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-a1
121.1-a
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{4} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.5
$1$
\( 1 \)
$0.397712124$
$30.53686771$
3.661819865
\( -24729001 \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -29\) , \( 46\bigr] \)
${y}^2+a{x}{y}={x}^{3}-{x}^{2}-29{x}+46$
121.1-a2
121.1-a
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.7
$1$
\( 1 \)
$4.374833372$
$2.776078883$
3.661819865
\( -121 \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -2\) , \( -7\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-2{x}-7$
121.1-b1
121.1-b
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{4} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.6
$1$
\( 3 \)
$2.607222391$
$1.039981560$
2.452610755
\( -24729001 \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( -30\) , \( -76\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+{x}^{2}-30{x}-76$
121.1-b2
121.1-b
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{8} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$11$
11B.1.4
$1$
\( 3 \)
$0.237020217$
$11.43979716$
2.452610755
\( -121 \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -7\) , \( 2\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}-7{x}+2$
121.1-c1
121.1-c
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{6} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{potential}$
$-11$
$N(\mathrm{U}(1))$
✓
✓
✓
$11$
11B.1.3
$1$
\( 2 \)
$0.089785156$
$23.06325055$
1.248701727
\( -32768 \)
\( \bigl[0\) , \( -1\) , \( 1\) , \( -7\) , \( 10\bigr] \)
${y}^2+{y}={x}^{3}-{x}^{2}-7{x}+10$
121.1-c2
121.1-c
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( 11^{6} \)
$1.96590$
$(a)$
$1$
$\mathsf{trivial}$
$\textsf{potential}$
$-11$
$N(\mathrm{U}(1))$
✓
✓
✓
$11$
11B.1.8
$1$
\( 2 \)
$0.987636717$
$2.096659141$
1.248701727
\( -32768 \)
\( \bigl[0\) , \( 1\) , \( a\) , \( -7\) , \( -13\bigr] \)
${y}^2+a{y}={x}^{3}+{x}^{2}-7{x}-13$
121.1-d1
121.1-d
$2$
$2$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( - 11^{9} \)
$1.96590$
$(a)$
0
$\Z/2\Z$
$\textsf{potential}$
$-4$
$N(\mathrm{U}(1))$
✓
✓
$11$
11Nn.1.2
$1$
\( 2 \)
$1$
$6.438947969$
0.485353965
\( 1728 \)
\( \bigl[a + 1\) , \( a\) , \( a\) , \( 30 a - 85\) , \( -15 a + 67\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(30a-85\right){x}-15a+67$
121.1-d2
121.1-d
$2$
$2$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
121.1
\( 11^{2} \)
\( - 11^{9} \)
$1.96590$
$(a)$
0
$\Z/2\Z$
$\textsf{potential}$
$-4$
$N(\mathrm{U}(1))$
✓
✓
$11$
11Nn.1.2
$1$
\( 2 \)
$1$
$6.438947969$
0.485353965
\( 1728 \)
\( \bigl[a + 1\) , \( a\) , \( 1\) , \( -25 a - 80\) , \( -70 a - 233\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+a{x}^{2}+\left(-25a-80\right){x}-70a-233$
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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.