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
57600.2-y2 57600.2-y $4$
$4$
\(\Q(\sqrt{-1}) \) $2$
$[0, 1]$
57600.2
\( 2^{8} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{18} \cdot 3^{6} \cdot 5^{16} \)
$2.76869$
$(a+1), (-a-2), (2a+1), (3)$
$1$
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $1$
\( 2^{8} \cdot 3 \)
$0.148931858$
$0.322619754$
4.612642513
\( \frac{26410345352}{10546875} \)
\( \bigl[0\) , \( i\) , \( 0\) , \( 496\) , \( -2204 i\bigr] \) ${y}^2={x}^{3}+i{x}^{2}+496{x}-2204i$
7200.2-d2 7200.2-d $6$
$8$
\(\Q(\sqrt{-2}) \) $2$
$[0, 1]$
7200.2
\( 2^{5} \cdot 3^{2} \cdot 5^{2} \)
\( 2^{6} \cdot 3^{6} \cdot 5^{16} \)
$2.32818$
$(a), (-a-1), (a-1), (5)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2B $4$
\( 2^{4} \)
$1$
$0.645239508$
1.825012928
\( \frac{26410345352}{10546875} \)
\( \bigl[a\) , \( 1\) , \( a\) , \( -123\) , \( 276\bigr] \) ${y}^2+a{x}{y}+a{y}={x}^{3}+{x}^{2}-123{x}+276$
480.1-l2 480.1-l $4$
$4$
\(\Q(\sqrt{-30}) \) $2$
$[0, 1]$
480.1
\( 2^{5} \cdot 3 \cdot 5 \)
\( 2^{6} \cdot 3^{6} \cdot 5^{16} \)
$4.58184$
$(2,a), (3,a), (5,a)$
0
$\Z/4\Z$
$\textsf{no}$
$\mathrm{SU}(2)$ ✓
✓
$2$
2Cs $4$
\( 2^{6} \)
$1$
$0.645239508$
1.884865247
\( \frac{26410345352}{10546875} \)
\( \bigl[a\) , \( -1\) , \( 0\) , \( -100\) , \( 625\bigr] \) ${y}^2+a{x}{y}={x}^3-{x}^2-100{x}+625$
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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.
