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
17424.6-d2 17424.6-d $2$
$2$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
17424.6
\( 2^{4} \cdot 3^{2} \cdot 11^{2} \)
\( 2^{17} \cdot 3^{2} \cdot 11^{9} \)
$2.71628$
$(a), (-a+1), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{2} \cdot 3 \)
$2.022469149$
$0.689398375$
6.323891167
\( -\frac{89089}{192} a - \frac{152045}{96} \)
\( \bigl[a\) , \( a\) , \( a\) , \( -48 a - 50\) , \( -350 a - 73\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+a{x}^{2}+\left(-48a-50\right){x}-350a-73$
34848.6-g2 34848.6-g $2$
$2$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
34848.6
\( 2^{5} \cdot 3^{2} \cdot 11^{2} \)
\( 2^{17} \cdot 3^{2} \cdot 11^{3} \)
$3.23022$
$(a), (-a+1), (2a+1), (3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \cdot 3 \)
$0.371926659$
$2.286475741$
7.714115357
\( -\frac{89089}{192} a - \frac{152045}{96} \)
\( \bigl[a\) , \( -a + 1\) , \( 0\) , \( 6 a - 7\) , \( -9 a + 4\bigr] \) ${y}^2+a{x}{y}={x}^{3}+\left(-a+1\right){x}^{2}+\left(6a-7\right){x}-9a+4$
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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.
