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
324.1-b2 324.1-b $4$
$6$
\(\Q(\sqrt{17}) \) $2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( - 2^{9} \cdot 3^{6} \)
$1.56315$
$(-a+2), (-a-1), (3)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{2} \cdot 3^{2} \)
$1$
$15.66139740$
3.798446809
\( -\frac{21681}{64} a + \frac{128925}{64} \)
\( \bigl[1\) , \( -1\) , \( 1\) , \( 3 a + 4\) , \( 2 a + 3\bigr] \) ${y}^2+{x}{y}+{y}={x}^{3}-{x}^{2}+\left(3a+4\right){x}+2a+3$
324.1-d2 324.1-d $4$
$6$
\(\Q(\sqrt{17}) \) $2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( - 2^{9} \cdot 3^{18} \)
$1.56315$
$(-a+2), (-a-1), (3)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{2} \)
$1$
$3.740370943$
0.907173204
\( -\frac{21681}{64} a + \frac{128925}{64} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 27 a + 39\) , \( -81 a - 127\bigr] \) ${y}^2+{x}{y}={x}^{3}-{x}^{2}+\left(27a+39\right){x}-81a-127$
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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.
