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
361.1-a3
361.1-a
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
361.1
\( 19^{2} \)
\( 19^{2} \)
$0.77901$
$(19)$
0
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$3$
3B.1.1
$1$
\( 1 \)
$1$
$8.417781075$
0.935309008
\( \frac{32768}{19} \)
\( \bigl[0\) , \( 1\) , \( 1\) , \( 1\) , \( 0\bigr] \)
${y}^2+{y}={x}^{3}+{x}^{2}+{x}$
29241.1-b3
29241.1-b
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
29241.1
\( 3^{4} \cdot 19^{2} \)
\( 3^{12} \cdot 19^{2} \)
$2.33704$
$(3), (19)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.2
$1$
\( 2^{2} \)
$0.069215548$
$2.805927025$
3.107420464
\( \frac{32768}{19} \)
\( \bigl[0\) , \( 0\) , \( i\) , \( 6\) , \( 0\bigr] \)
${y}^2+i{y}={x}^{3}+6{x}$
92416.1-b3
92416.1-b
$3$
$9$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
92416.1
\( 2^{8} \cdot 19^{2} \)
\( 2^{12} \cdot 19^{2} \)
$3.11606$
$(a+1), (19)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B
$1$
\( 2 \)
$0.151745901$
$4.208890537$
5.109455107
\( \frac{32768}{19} \)
\( \bigl[0\) , \( -1\) , \( 0\) , \( 3\) , \( -1\bigr] \)
${y}^2={x}^{3}-{x}^{2}+3{x}-1$
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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.