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
13552.2-c2 13552.2-c $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
13552.2
\( 2^{4} \cdot 7 \cdot 11^{2} \)
\( 2^{10} \cdot 7^{4} \cdot 11^{11} \)
$2.55087$
$(a), (-2a+1), (-2a+3), (2a+1)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{3} \cdot 3 \)
$1$
$0.402376194$
1.825006876
\( \frac{71704185617021}{10503585169} a + \frac{49079299276110}{10503585169} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( 143 a - 482\) , \( 1316 a - 3704\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(143a-482\right){x}+1316a-3704$
47432.2-b2 47432.2-b $4$
$4$
\(\Q(\sqrt{-7}) \) $2$
$[0, 1]$
47432.2
\( 2^{3} \cdot 7^{2} \cdot 11^{2} \)
\( 2^{10} \cdot 7^{10} \cdot 11^{11} \)
$3.48904$
$(a), (-2a+1), (-2a+3), (2a+1)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2$
2B $1$
\( 2^{4} \)
$3.345718635$
$0.152083906$
3.077114361
\( \frac{71704185617021}{10503585169} a + \frac{49079299276110}{10503585169} \)
\( \bigl[a\) , \( -1\) , \( a\) , \( -1001 a + 3369\) , \( 41643 a + 14291\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}-{x}^{2}+\left(-1001a+3369\right){x}+41643a+14291$
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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.
