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
722.1-b2 722.1-b $3$
$9$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
722.1
\( 2 \cdot 19^{2} \)
\( 2^{54} \cdot 19^{2} \)
$2.26923$
$(-a+2), (a+5), (a-5)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$3$
3B.1.2 $9$
\( 2 \)
$1$
$0.397165580$
1.459279525
\( -\frac{69173457625}{2550136832} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -86\) , \( -2456\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-86{x}-2456$
722.1-g2 722.1-g $3$
$9$
\(\Q(\sqrt{6}) \) $2$
$[2, 0]$
722.1
\( 2 \cdot 19^{2} \)
\( 2^{54} \cdot 19^{2} \)
$2.26923$
$(-a+2), (a+5), (a-5)$
$1$
$\Z/3\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$3$
3B.1.1 $1$
\( 2 \cdot 3^{3} \)
$1.698405069$
$1.446313524$
6.016990833
\( -\frac{69173457625}{2550136832} \)
\( \bigl[a + 1\) , \( -a\) , \( 0\) , \( -1711 a - 4189\) , \( 484528 a + 1186849\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}-a{x}^{2}+\left(-1711a-4189\right){x}+484528a+1186849$
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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.
