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
23104.1-a1
23104.1-a
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
23104.1
\( 2^{6} \cdot 19^{2} \)
\( 2^{12} \cdot 19^{2} \)
$2.20338$
$(a+1), (19)$
$2$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 2^{2} \)
$0.058229357$
$4.183446943$
3.897590849
\( -\frac{13824}{19} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( 2\) , \( -2 i\bigr] \)
${y}^2={x}^{3}+2{x}-2i$
92416.1-g1
92416.1-g
$1$
$1$
\(\Q(\sqrt{-1}) \)
$2$
$[0, 1]$
92416.1
\( 2^{8} \cdot 19^{2} \)
\( 2^{12} \cdot 19^{2} \)
$3.11606$
$(a+1), (19)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
$1$
\( 1 \)
$0.595835310$
$4.183446943$
4.985290813
\( -\frac{13824}{19} \)
\( \bigl[0\) , \( 0\) , \( 0\) , \( -2\) , \( -2\bigr] \)
${y}^2={x}^{3}-2{x}-2$
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.