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
57800.6-c1 57800.6-c $1$
$1$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57800.6
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \)
\( 2^{4} \cdot 5^{2} \cdot 17^{2} \)
$2.77109$
$(a+1), (-a-2), (2a+1), (a-4)$
$1$
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 2 \)
$0.207456378$
$5.029645956$
4.173728546
\( 2048 a - \frac{6144}{5} \)
\( \bigl[0\) , \( i\) , \( i + 1\) , \( -i - 2\) , \( 1\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+i{x}^{2}+\left(-i-2\right){x}+1$
57800.6-f1 57800.6-f $1$
$1$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57800.6
\( 2^{3} \cdot 5^{2} \cdot 17^{2} \)
\( 2^{4} \cdot 5^{2} \cdot 17^{8} \)
$2.77109$
$(a+1), (-a-2), (2a+1), (a-4)$
0
$\mathsf{trivial}$
$\textsf{no}$
$\mathrm{SU}(2)$ $1$
\( 2 \)
$1$
$1.219868325$
2.439736651
\( 2048 a - \frac{6144}{5} \)
\( \bigl[0\) , \( -i + 1\) , \( i + 1\) , \( i + 33\) , \( 75 i - 14\bigr] \) ${y}^2+\left(i+1\right){y}={x}^{3}+\left(-i+1\right){x}^{2}+\left(i+33\right){x}+75i-14$
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.
