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
1156.1-a1
1156.1-a
$4$
$6$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
1156.1
\( 2^{2} \cdot 17^{2} \)
\( 2^{12} \cdot 17^{2} \)
$1.72812$
$(2), (17)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2 \cdot 3 \)
$1.905250518$
$4.190351719$
1.604778008
\( \frac{3048625}{1088} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -3\) , \( 1\bigr] \)
${y}^2+{x}{y}={x}^{3}-3{x}+1$
1156.1-a2
1156.1-a
$4$
$6$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
1156.1
\( 2^{2} \cdot 17^{2} \)
\( 2^{2} \cdot 17^{12} \)
$1.72812$
$(2), (17)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2 \cdot 3 \)
$1.270167012$
$0.698391953$
1.604778008
\( \frac{159661140625}{48275138} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -113\) , \( -329\bigr] \)
${y}^2+{x}{y}={x}^{3}-113{x}-329$
1156.1-a3
1156.1-a
$4$
$6$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
1156.1
\( 2^{2} \cdot 17^{2} \)
\( 2^{6} \cdot 17^{4} \)
$1.72812$
$(2), (17)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2 \cdot 3 \)
$3.810501037$
$2.095175859$
1.604778008
\( \frac{8805624625}{2312} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -43\) , \( 105\bigr] \)
${y}^2+{x}{y}={x}^{3}-43{x}+105$
1156.1-a4
1156.1-a
$4$
$6$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
1156.1
\( 2^{2} \cdot 17^{2} \)
\( 2^{4} \cdot 17^{6} \)
$1.72812$
$(2), (17)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2 \cdot 3 \)
$0.635083506$
$1.396783906$
1.604778008
\( \frac{120920208625}{19652} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -103\) , \( -411\bigr] \)
${y}^2+{x}{y}={x}^{3}-103{x}-411$
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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.