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
3.2-a1
3.2-a
$2$
$7$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
3.2
\( 3 \)
\( 3 \)
$1.10322$
$(a+5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B
$1$
\( 1 \)
$1$
$19.43674480$
2.071963957
\( \frac{27347987}{3} a - \frac{128357221}{3} \)
\( \bigl[1\) , \( a\) , \( 1\) , \( 5 a - 16\) , \( -19 a + 93\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}+a{x}^{2}+\left(5a-16\right){x}-19a+93$
3.2-a2
3.2-a
$2$
$7$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
3.2
\( 3 \)
\( 3^{7} \)
$1.10322$
$(a+5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B
$1$
\( 1 \)
$1$
$19.43674480$
2.071963957
\( -\frac{311281}{2187} a + \frac{803993}{2187} \)
\( \bigl[1\) , \( a\) , \( a + 1\) , \( -1658 a + 7782\) , \( 67541 a - 316799\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+a{x}^{2}+\left(-1658a+7782\right){x}+67541a-316799$
3.2-b1
3.2-b
$2$
$7$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
3.2
\( 3 \)
\( 3 \)
$1.10322$
$(a+5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B
$1$
\( 1 \)
$1$
$10.92223089$
1.164313725
\( \frac{27347987}{3} a - \frac{128357221}{3} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( 1\) , \( -3044 a - 14259\) , \( 201370 a + 944522\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3044a-14259\right){x}+201370a+944522$
3.2-b2
3.2-b
$2$
$7$
\(\Q(\sqrt{22}) \)
$2$
$[2, 0]$
3.2
\( 3 \)
\( 3^{7} \)
$1.10322$
$(a+5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$7$
7B
$1$
\( 1 \)
$1$
$10.92223089$
1.164313725
\( -\frac{311281}{2187} a + \frac{803993}{2187} \)
\( \bigl[a + 1\) , \( -a - 1\) , \( a + 1\) , \( -3 a - 4\) , \( -3 a - 4\bigr] \)
${y}^2+\left(a+1\right){x}{y}+\left(a+1\right){y}={x}^{3}+\left(-a-1\right){x}^{2}+\left(-3a-4\right){x}-3a-4$
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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.