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
11025.2-c4
11025.2-c
$4$
$4$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
11025.2
\( 3^{2} \cdot 5^{2} \cdot 7^{2} \)
\( 3^{2} \cdot 5^{8} \cdot 7^{2} \)
$1.83132$
$(-a-2), (2a+1), (3), (7)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$1.341111210$
$1.393647371$
3.738072226
\( \frac{157551496201}{13125} \)
\( \bigl[i\) , \( 0\) , \( i\) , \( -112\) , \( 469\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}-112{x}+469$
99225.2-a4
99225.2-a
$4$
$4$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
99225.2
\( 3^{4} \cdot 5^{2} \cdot 7^{2} \)
\( 3^{14} \cdot 5^{8} \cdot 7^{2} \)
$3.17193$
$(-a-2), (2a+1), (3), (7)$
$2$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$2$
2B
$1$
\( 2^{4} \)
$0.522107791$
$0.464549123$
3.880715476
\( \frac{157551496201}{13125} \)
\( \bigl[i\) , \( 1\) , \( i\) , \( -1012\) , \( -12656\bigr] \)
${y}^2+i{x}{y}+i{y}={x}^{3}+{x}^{2}-1012{x}-12656$
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.