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-a1
361.1-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
361.1
\( 19^{2} \)
\( 19^{2} \)
$1.29185$
$(19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$3$
3B.1.2
$1$
\( 1 \)
$1$
$0.935309008$
0.564012553
\( -\frac{50357871050752}{19} \)
\( \bigl[0\) , \( 1\) , \( 1\) , \( -769\) , \( -8470\bigr] \)
${y}^2+{y}={x}^{3}+{x}^{2}-769{x}-8470$
9025.1-a1
9025.1-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
9025.1
\( 5^{2} \cdot 19^{2} \)
\( 5^{6} \cdot 19^{2} \)
$2.88866$
$(-a-1), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B
$9$
\( 1 \)
$1$
$0.418282904$
2.270106737
\( -\frac{50357871050752}{19} \)
\( \bigl[0\) , \( a + 1\) , \( 1\) , \( -2307 a + 1538\) , \( -33879 a + 93167\bigr] \)
${y}^2+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-2307a+1538\right){x}-33879a+93167$
9025.3-a1
9025.3-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
9025.3
\( 5^{2} \cdot 19^{2} \)
\( 5^{6} \cdot 19^{2} \)
$2.88866$
$(a-2), (19)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$3$
3B
$9$
\( 1 \)
$1$
$0.418282904$
2.270106737
\( -\frac{50357871050752}{19} \)
\( \bigl[0\) , \( -a - 1\) , \( 1\) , \( 2309 a - 770\) , \( 31571 a + 60058\bigr] \)
${y}^2+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(2309a-770\right){x}+31571a+60058$
29241.3-a1
29241.3-a
$3$
$9$
\(\Q(\sqrt{-11}) \)
$2$
$[0, 1]$
29241.3
\( 3^{4} \cdot 19^{2} \)
\( 3^{12} \cdot 19^{2} \)
$3.87555$
$(-a), (a-1), (19)$
$2$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$3$
3B.1.1
$1$
\( 2^{2} \)
$10.42908546$
$0.311769669$
3.485709701
\( -\frac{50357871050752}{19} \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( -6924\) , \( 221760\bigr] \)
${y}^2+{y}={x}^{3}-6924{x}+221760$
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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.