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-c3 324.1-c $4$
$6$
\(\Q(\sqrt{17}) \) $2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( - 2^{14} \cdot 3^{6} \)
$1.56315$
$(-a+2), (-a-1), (3)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.1 $1$
\( 2^{4} \cdot 3 \)
$0.237192732$
$16.86931162$
2.587873310
\( \frac{5106375}{4096} a + \frac{4762125}{4096} \)
\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 7 a - 20\) , \( -32 a + 79\bigr] \) ${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}-{x}^{2}+\left(7a-20\right){x}-32a+79$
324.1-f3 324.1-f $4$
$6$
\(\Q(\sqrt{17}) \) $2$
$[2, 0]$
324.1
\( 2^{2} \cdot 3^{4} \)
\( - 2^{14} \cdot 3^{18} \)
$1.56315$
$(-a+2), (-a-1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
$2, 3$
2B , 3B.1.2 $1$
\( 2^{3} \)
$1.423156397$
$1.874367958$
2.587873310
\( \frac{5106375}{4096} a + \frac{4762125}{4096} \)
\( \bigl[1\) , \( -1\) , \( a\) , \( 67 a - 177\) , \( 776 a - 1991\bigr] \) ${y}^2+{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(67a-177\right){x}+776a-1991$
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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.
