Elliptic curves in class 37.1-a over 4.4.10512.1
Isogeny class 37.1-a contains
4 curves linked by isogenies of
degrees dividing 6.
| Curve label |
Weierstrass Coefficients |
| 37.1-a1
| \( \bigl[a + 1\) , \( a^{3} - 5 a - 5\) , \( a^{2} - a - 4\) , \( 352 a^{3} + 54 a^{2} - 2455 a - 2488\) , \( -2020 a^{3} - 285 a^{2} + 14088 a + 14085\bigr] \)
|
| 37.1-a2
| \( \bigl[a + 1\) , \( a^{3} - 5 a - 5\) , \( a^{2} - a - 4\) , \( 217 a^{3} + 34 a^{2} - 1515 a - 1528\) , \( 3150 a^{3} + 446 a^{2} - 21991 a - 22038\bigr] \)
|
| 37.1-a3
| \( \bigl[a + 1\) , \( a^{3} - 5 a - 5\) , \( a^{2} - a - 4\) , \( 12 a^{3} + 4 a^{2} - 80 a - 83\) , \( 37 a^{3} + 7 a^{2} - 252 a - 254\bigr] \)
|
| 37.1-a4
| \( \bigl[a + 1\) , \( a^{3} - 5 a - 5\) , \( a^{2} - a - 4\) , \( -88 a^{3} - 11 a^{2} + 620 a + 622\) , \( -12 a^{3} + 2 a^{2} + 91 a + 84\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 6 & 2 \\
3 & 1 & 2 & 6 \\
6 & 2 & 1 & 3 \\
2 & 6 & 3 & 1
\end{array}\right)\)
