4489.a.4489.1 |
4489.a |
\( 67^{2} \) |
\( 67^{2} \) |
$2$ |
$2$ |
$\mathsf{trivial}$ |
\(\mathsf{RM}\) |
\(\mathsf{RM}\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$10$ |
$0$ |
2.12.2, 3.2160.18 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.011439\) |
\(20.465113\) |
\(0.234100\) |
$[284,1369,127187,-574592]$ |
$[71,153,187,-2533,-4489]$ |
$[-1804229351/4489,-54760383/4489,-942667/4489]$ |
$y^2 + (x^3 + x + 1)y = x^5 - x$ |
4489.b.4489.1 |
4489.b |
\( 67^{2} \) |
\( 67^{2} \) |
$1$ |
$1$ |
$\mathsf{trivial}$ |
\(\Q\) |
\(\Q\) |
|
$\mathrm{USp}(4)$ |
$2$ |
✓ |
✓ |
$C_2$ |
$C_2$ |
$6$ |
$0$ |
2.2.1 |
✓ |
✓ |
$1$ |
\( 1 \) |
\(0.038234\) |
\(13.549443\) |
\(0.518054\) |
$[228,201,60501,574592]$ |
$[57,127,-279,-8008,4489]$ |
$[601692057/4489,23519511/4489,-906471/4489]$ |
$y^2 + (x^3 + x + 1)y = -x^6 + x^5 - x^4 - x$ |
4489.c.4489.1 |
4489.c |
\( 67^{2} \) |
\( 67^{2} \) |
$0$ |
$2$ |
$\Z/11\Z$ |
\(\mathsf{RM}\) |
\(\mathsf{RM}\) |
✓ |
$\mathrm{SU}(2)\times\mathrm{SU}(2)$ |
|
✓ |
✓ |
$C_2$ |
$C_2$ |
$0$ |
$0$ |
2.12.2, 3.72.2 |
✓ |
✓ |
$4$ |
\( 1 \) |
\(1.000000\) |
\(20.347362\) |
\(0.672640\) |
$[45572,66049,996454497,574592]$ |
$[11393,5405600,3418056180,2430350674685,4489]$ |
$[191951047694934040193/4489,7993890555954359200/4489,443665226871224820/4489]$ |
$y^2 + (x^3 + x^2 + 1)y = -x^6 + 7x^4 - 2x^3 - 21x^2 + x + 18$ |