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
5625.1-CMb1
5625.1-CMb
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5625.1
\( 3^{2} \cdot 5^{4} \)
\( 3^{6} \cdot 5^{16} \)
$1.34039$
$(-2a+1), (5)$
0
$\Z/3\Z$
$\textsf{yes}$
$-3$
$\mathrm{U}(1)$
✓
✓
✓
$3, 5$
3B.1.1[2] , 5Cn.0.1
$1$
\( 2^{2} \cdot 3 \)
$1$
$0.948390915$
1.460143333
\( 0 \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 156\bigr] \)
${y}^2+{y}={x}^{3}+156$
5625.1-CMa1
5625.1-CMa
$1$
$1$
\(\Q(\sqrt{-3}) \)
$2$
$[0, 1]$
5625.1
\( 3^{2} \cdot 5^{4} \)
\( 3^{6} \cdot 5^{4} \)
$1.34039$
$(-2a+1), (5)$
$2$
$\mathsf{trivial}$
$\textsf{yes}$
$-3$
$\mathrm{U}(1)$
✓
✓
✓
$5$
5Cn.0.1
$1$
\( 2^{2} \)
$0.017703945$
$4.741954575$
1.551017859
\( 0 \)
\( \bigl[0\) , \( 0\) , \( 1\) , \( 0\) , \( 1\bigr] \)
${y}^2+{y}={x}^{3}+1$
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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.