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
3025.2-a2
3025.2-a
$4$
$4$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
3025.2
\( 5^{2} \cdot 11^{2} \)
\( 5^{4} \cdot 11^{4} \)
$1.32541$
$(-a-2), (2a+1), (11)$
0
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2Cs
$1$
\( 2^{3} \)
$1$
$3.541244221$
1.770622110
\( \frac{8120601}{3025} \)
\( \bigl[1\) , \( -1\) , \( 0\) , \( -4\) , \( 3\bigr] \)
${y}^2+{x}{y}={x}^{3}-{x}^{2}-4{x}+3$
75625.3-a2
75625.3-a
$4$
$4$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
75625.3
\( 5^{4} \cdot 11^{2} \)
\( 5^{16} \cdot 11^{4} \)
$2.96370$
$(-a-2), (2a+1), (11)$
$2$
$\Z/2\Z\oplus\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2Cs
$1$
\( 2^{5} \)
$0.685682481$
$0.708248844$
3.885070603
\( \frac{8120601}{3025} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -104\) , \( -272\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-104{x}-272$
Download
displayed columns for
results
to
Text
Pari/GP
SageMath
Magma
Oscar
CSV
*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.