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
196.1-a1
196.1-a
$6$
$18$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{36} \cdot 7^{2} \)
$1.92070$
$(-a-2), (-a+3), (7)$
$1$
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.1
$1$
\( 2^{2} \cdot 3^{4} \)
$0.210429933$
$7.027708105$
4.633794490
\( -\frac{548347731625}{1835008} \)
\( \bigl[1\) , \( a + 1\) , \( a + 1\) , \( -62751 a - 148862\) , \( 14446740 a + 34271731\bigr] \)
${y}^2+{x}{y}+\left(a+1\right){y}={x}^{3}+\left(a+1\right){x}^{2}+\left(-62751a-148862\right){x}+14446740a+34271731$
196.1-b1
196.1-b
$6$
$18$
\(\Q(\sqrt{33}) \)
$2$
$[2, 0]$
196.1
\( 2^{2} \cdot 7^{2} \)
\( 2^{36} \cdot 7^{2} \)
$1.92070$
$(-a-2), (-a+3), (7)$
$1$
$\Z/2\Z$
$\textsf{no}$
$\mathrm{SU}(2)$
✓
✓
✓
$2, 3$
2B , 3B.1.2
$1$
\( 2^{2} \)
$7.868447511$
$0.436190660$
1.194918927
\( -\frac{548347731625}{1835008} \)
\( \bigl[1\) , \( 0\) , \( 1\) , \( -171\) , \( -874\bigr] \)
${y}^2+{x}{y}+{y}={x}^{3}-171{x}-874$
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.