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
33800.5-d1 33800.5-d $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
33800.5
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{8} \cdot 5^{4} \cdot 13^{4} \)
$2.42325$
$(a+1), (-a-2), (2a+1), (-3a-2), (2a+3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $1$
\( 2^{5} \)
$0.500172487$
$2.200471793$
4.402461800
\( -\frac{4}{4225} \)
\( \bigl[i + 1\) , \( 0\) , \( i + 1\) , \( -i\) , \( -13 i\bigr] \) ${y}^2+\left(i+1\right){x}{y}+\left(i+1\right){y}={x}^{3}-i{x}-13i$
33800.1-b1 33800.1-b $2$
$2$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
33800.1
\( 2^{3} \cdot 5^{2} \cdot 13^{2} \)
\( 2^{8} \cdot 5^{4} \cdot 13^{4} \)
$3.42699$
$(a), (5), (13)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{4} \)
$1$
$2.200471793$
6.223874108
\( -\frac{4}{4225} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( 1\) , \( 13\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}+{x}+13$
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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.
