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
90.1-e11
90.1-e
$12$
$24$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
90.1
\( 2 \cdot 3^{2} \cdot 5 \)
\( 2^{18} \cdot 3^{8} \cdot 5^{6} \)
$1.74072$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B
$4$
\( 2^{4} \cdot 3^{2} \)
$1$
$0.312098809$
1.776497566
\( \frac{16778985534208729}{81000} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -21335\) , \( -1224277\bigr] \)
${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-21335{x}-1224277$
90.1-f11
90.1-f
$12$
$24$
\(\Q(\sqrt{10}) \)
$2$
$[2, 0]$
90.1
\( 2 \cdot 3^{2} \cdot 5 \)
\( 2^{6} \cdot 3^{8} \cdot 5^{6} \)
$1.74072$
$(2,a), (3,a+1), (3,a+2), (5,a)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2Cs , 3B.1.2
$9$
\( 2^{6} \)
$1$
$0.312098809$
1.776497566
\( \frac{16778985534208729}{81000} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -5334\) , \( -150368\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-5334{x}-150368$
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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.