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
5832.2-a1 5832.2-a $1$
$1$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
5832.2
\( 2^{3} \cdot 3^{6} \)
\( 2^{11} \cdot 3^{14} \)
$2.20871$
$(a), (-a-1), (a-1)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 1 \)
$1$
$2.045303597$
1.446248043
\( \frac{329}{3} a + \frac{920}{3} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( -5 a - 2\) , \( 2 a + 17\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-5a-2\right){x}+2a+17$
5832.2-b1 5832.2-b $1$
$1$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
5832.2
\( 2^{3} \cdot 3^{6} \)
\( 2^{4} \cdot 3^{10} \)
$2.20871$
$(a), (-a-1), (a-1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 2 \)
$0.273777690$
$4.009572881$
3.104853844
\( \frac{673792}{243} a + \frac{1884160}{243} \)
\( \bigl[0\) , \( a + 1\) , \( a\) , \( 3 a - 3\) , \( 2 a - 3\bigr] \) ${y}^2+a{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(3a-3\right){x}+2a-3$
5832.2-c1 5832.2-c $1$
$1$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
5832.2
\( 2^{3} \cdot 3^{6} \)
\( 2^{10} \cdot 3^{7} \)
$2.20871$
$(a), (-a-1), (a-1)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 2^{2} \)
$0.136383579$
$3.911482183$
3.017716442
\( \frac{18502}{9} a + \frac{13870}{9} \)
\( \bigl[a\) , \( a\) , \( 0\) , \( -a - 4\) , \( 3\bigr] \) ${y}^2+a{x}{y}={x}^{3}+a{x}^{2}+\left(-a-4\right){x}+3$
Download
displayed columns for
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.
