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
16.1-a1
16.1-a
$1$
$1$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \)
$1.18548$
$(a+3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$0.235813649$
$21.93426914$
1.559537297
\( 1024 \)
\( \bigl[0\) , \( a\) , \( a + 1\) , \( 4\) , \( -3\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}+a{x}^{2}+4{x}-3$
16.1-b1
16.1-b
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{12} \)
$1.18548$
$(a+3)$
0
$\mathsf{trivial}$
$\textsf{potential}$
$-11$
$N(\mathrm{U}(1))$
✓
✓
$1$
\( 1 \)
$1$
$11.53162527$
1.738457921
\( -32768 \)
\( \bigl[0\) , \( -a\) , \( 0\) , \( 1\) , \( a\bigr] \)
${y}^2={x}^{3}-a{x}^{2}+{x}+a$
16.1-b2
16.1-b
$2$
$11$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{12} \)
$1.18548$
$(a+3)$
0
$\mathsf{trivial}$
$\textsf{potential}$
$-11$
$N(\mathrm{U}(1))$
✓
✓
$1$
\( 1 \)
$1$
$11.53162527$
1.738457921
\( -32768 \)
\( \bigl[0\) , \( a\) , \( 0\) , \( 1\) , \( -a\bigr] \)
${y}^2={x}^{3}+a{x}^{2}+{x}-a$
16.1-c1
16.1-c
$1$
$1$
\(\Q(\sqrt{11}) \)
$2$
$[2, 0]$
16.1
\( 2^{4} \)
\( 2^{4} \)
$1.18548$
$(a+3)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$0.235813649$
$21.93426914$
1.559537297
\( 1024 \)
\( \bigl[0\) , \( -a\) , \( a + 1\) , \( 4\) , \( -a - 3\bigr] \)
${y}^2+\left(a+1\right){y}={x}^{3}-a{x}^{2}+4{x}-a-3$
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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.