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
100044.4-c2 100044.4-c $4$
$6$
\(\Q(\sqrt{-3}) \) $2$
$[0, 1]$
100044.4
\( 2^{2} \cdot 3^{2} \cdot 7 \cdot 397 \)
\( 2^{12} \cdot 3^{3} \cdot 7^{6} \cdot 397^{2} \)
$2.75262$
$(-2a+1), (3a-2), (-23a+11), (2)$
0
$\Z/6\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ $2, 3$
2B , 3B.1.1[2] $1$
\( 2^{4} \cdot 3^{2} \)
$1$
$0.489628674$
2.261497976
\( \frac{38342039490623763}{593361319712} a - \frac{634876654685842251}{1186722639424} \)
\( \bigl[a + 1\) , \( 0\) , \( 0\) , \( -328 a - 355\) , \( 4205 a + 1947\bigr] \) ${y}^2+\left(a+1\right){x}{y}={x}^{3}+\left(-328a-355\right){x}+4205a+1947$
Download
displayed columns for
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.
