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
2450.1-j1
2450.1-j
$4$
$6$
\(\Q(\sqrt{2}) \)
$2$
$[2, 0]$
2450.1
\( 2 \cdot 5^{2} \cdot 7^{2} \)
\( 2^{2} \cdot 5^{12} \cdot 7^{4} \)
$1.77818$
$(a), (-2a+1), (2a+1), (5)$
0
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \cdot 3^{2} \)
$1$
$0.856083970$
2.724042514
\( -\frac{1278766414209}{1071875} a - \frac{18066586745243}{10718750} \)
\( \bigl[a + 1\) , \( a + 1\) , \( 1\) , \( -156 a + 200\) , \( 210 a - 373\bigr] \)
${y}^2+\left(a+1\right){x}{y}+{y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-156a+200\right){x}+210a-373$
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.