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
22500.2-a4
22500.2-a
$4$
$10$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
22500.2
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{2} \cdot 3^{4} \cdot 5^{18} \)
$2.89556$
$(a), (-a+1), (3), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 5$
2B , 5B.1.3
$4$
\( 2^{2} \)
$1$
$0.393748567$
1.190583757
\( \frac{131872229}{18} \)
\( \bigl[1\) , \( 1\) , \( 0\) , \( -1325\) , \( -19125\bigr] \)
${y}^2+{x}{y}={x}^{3}+{x}^{2}-1325{x}-19125$
22500.2-b4
22500.2-b
$4$
$10$
\(\Q(\sqrt{-7}) \)
$2$
$[0, 1]$
22500.2
\( 2^{2} \cdot 3^{2} \cdot 5^{4} \)
\( 2^{2} \cdot 3^{4} \cdot 5^{6} \)
$2.89556$
$(a), (-a+1), (3), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2, 5$
2B , 5B.1.2
$4$
\( 2^{2} \)
$1$
$1.968742835$
5.952918787
\( \frac{131872229}{18} \)
\( \bigl[1\) , \( 0\) , \( 0\) , \( -53\) , \( -153\bigr] \)
${y}^2+{x}{y}={x}^{3}-53{x}-153$
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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.