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-i1
5202.5-i
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
5202.5
\( 2 \cdot 3^{2} \cdot 17^{2} \)
\( 2^{2} \cdot 3^{4} \cdot 17^{16} \)
$2.14648$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{9} \)
$1$
$0.183754147$
4.157881714
\( -\frac{491411892194497}{125563633938} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -1644\) , \( -30942\bigr] \)
${y}^2+{x}{y}={x}^{3}-1644{x}-30942$
41616.5-g1
41616.5-g
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
41616.5
\( 2^{4} \cdot 3^{2} \cdot 17^{2} \)
\( 2^{14} \cdot 3^{4} \cdot 17^{16} \)
$3.60993$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z\oplus\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{10} \)
$1.913490884$
$0.091877073$
3.978034379
\( -\frac{491411892194497}{125563633938} \)
\( \bigl[a\) , \( 1\) , \( 0\) , \( -6576\) , \( -247536\bigr] \)
${y}^2+a{x}{y}={x}^{3}+{x}^{2}-6576{x}-247536$
46818.8-k1
46818.8-k
$8$
$16$
\(\Q(\sqrt{-2}) \)
$2$
$[0, 1]$
46818.8
\( 2 \cdot 3^{4} \cdot 17^{2} \)
\( 2^{2} \cdot 3^{16} \cdot 17^{16} \)
$3.71781$
$(a), (-a-1), (a-1), (-2a+3), (2a+3)$
$1$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{7} \)
$6.825015489$
$0.061251382$
4.729601183
\( -\frac{491411892194497}{125563633938} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -14796\) , \( 835434\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-14796{x}+835434$
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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.