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
9.1-a1
9.1-a
$2$
$2$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
9.1
\( 3^{2} \)
\( 3^{8} \)
$2.09946$
$(a+7), (a-7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$11.01298155$
3.247551087
\( -\frac{2924207}{81} \)
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -10679 a - 72448\) , \( 1529184 a + 10371419\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-10679a-72448\right){x}+1529184a+10371419$
9.1-a2
9.1-a
$2$
$2$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
9.1
\( 3^{2} \)
\( 3^{4} \)
$2.09946$
$(a+7), (a-7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{2} \)
$1$
$11.01298155$
3.247551087
\( \frac{12214672127}{9} \)
\( \bigl[a + 1\) , \( a - 1\) , \( a\) , \( -172139 a - 1167523\) , \( 100052859 a + 678591494\bigr] \)
${y}^2+\left(a+1\right){x}{y}+a{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(-172139a-1167523\right){x}+100052859a+678591494$
9.1-b1
9.1-b
$2$
$2$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
9.1
\( 3^{2} \)
\( 3^{8} \)
$2.09946$
$(a+7), (a-7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1$
$11.01298155$
3.247551087
\( -\frac{2924207}{81} \)
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 10700 a - 72425\) , \( -1601632 a + 10863136\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(10700a-72425\right){x}-1601632a+10863136$
9.1-b2
9.1-b
$2$
$2$
\(\Q(\sqrt{46}) \)
$2$
$[2, 0]$
9.1
\( 3^{2} \)
\( 3^{4} \)
$2.09946$
$(a+7), (a-7)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{2} \)
$1$
$11.01298155$
3.247551087
\( \frac{12214672127}{9} \)
\( \bigl[a + 1\) , \( a - 1\) , \( 0\) , \( 172160 a - 1167500\) , \( -101220382 a + 686510371\bigr] \)
${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(a-1\right){x}^{2}+\left(172160a-1167500\right){x}-101220382a+686510371$
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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.