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
225.1-a2 225.1-a $8$
$16$
\(\Q(\sqrt{-163}) \) $2$
$[0, 1]$
225.1
\( 3^{2} \cdot 5^{2} \)
\( 3^{2} \cdot 5^{2} \)
$4.41853$
$(3), (5)$
$0 \le r \le 1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B \( 1 \)
$1$
$8.942806850$
4.313443944
\( -\frac{1}{15} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 0\) , \( 0\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2$
2025.1-a2 2025.1-a $8$
$16$
\(\Q(\sqrt{-163}) \) $2$
$[0, 1]$
2025.1
\( 3^{4} \cdot 5^{2} \)
\( 3^{14} \cdot 5^{2} \)
$7.65312$
$(3), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{2} \)
$1$
$2.980935616$
0.466969794
\( -\frac{1}{15} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 0\) , \( -5\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2-5$
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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.
