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
5202.5-i4
5202.5-i
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
5202.5
\( 2 \cdot 3^{2} \cdot 17^{2} \)
\( 2^{4} \cdot 3^{32} \cdot 17^{2} \)
$2.14648$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
0
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{10} \)
$1$
$0.367508294$
4.157881714
\( \frac{1276229915423}{2927177028} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( 226\) , \( -2232\bigr] \)
${y}^2+{x}{y}={x}^{3}+226{x}-2232$
41616.5-g4
41616.5-g
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
41616.5
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{16} \cdot 3^{32} \cdot 17^{2} \)
$3.60993$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$4$
\( 2^{4} \)
$0.956745442$
$0.183754147$
3.978034379
\( \frac{1276229915423}{2927177028} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( 904\) , \( -17856\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}+904{x}-17856$
46818.8-k4
46818.8-k
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
46818.8
\( 2 \cdot 3^{4} \cdot 17^{2} \)
\( 2^{4} \cdot 3^{44} \cdot 17^{2} \)
$3.71781$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{5} \)
$3.412507744$
$0.122502764$
4.729601183
\( \frac{1276229915423}{2927177028} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 2034\) , \( 60264\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}+2034{x}+60264$
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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.