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-a3 225.1-a $8$
$16$
\(\Q(\sqrt{-163}) \) $2$
$[0, 1]$
225.1
\( 3^{2} \cdot 5^{2} \)
\( 3^{4} \cdot 5^{16} \)
$4.41853$
$(3), (5)$
$0 \le r \le 1$
$\Z/8\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
✓
$2$
2B \( 2^{4} \)
$1$
$1.117850856$
4.313443944
\( \frac{4733169839}{3515625} \)
\( \bigl[1\) , \( 1\) , \( 1\) , \( 35\) , \( -28\bigr] \) ${y}^2+{x}{y}+{y}={x}^3+{x}^2+35{x}-28$
2025.1-a3 2025.1-a $8$
$16$
\(\Q(\sqrt{-163}) \) $2$
$[0, 1]$
2025.1
\( 3^{4} \cdot 5^{2} \)
\( 3^{16} \cdot 5^{16} \)
$7.65312$
$(3), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{5} \)
$1$
$0.372616952$
0.466969794
\( \frac{4733169839}{3515625} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( 315\) , \( 1066\bigr] \) ${y}^2+{x}{y}={x}^3-{x}^2+315{x}+1066$
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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.
