Elliptic curves in class 10.3-a over 3.3.940.1
Isogeny class 10.3-a contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 10.3-a1
| \( \bigl[a^{2} - a - 5\) , \( a - 1\) , \( a^{2} - 4\) , \( -28818 a^{2} + 66064 a + 50280\) , \( -4032774 a^{2} + 9244737 a + 7036764\bigr] \)
|
| 10.3-a2
| \( \bigl[a^{2} - a - 5\) , \( 1\) , \( 0\) , \( -4 a^{2} - 5 a + 7\) , \( -14 a^{2} - 38 a - 13\bigr] \)
|
| 10.3-a3
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - a - 5\) , \( 43 a^{2} - 100 a - 72\) , \( 2869 a^{2} - 6576 a - 5010\bigr] \)
|
| 10.3-a4
| \( \bigl[1\) , \( a^{2} - a - 4\) , \( a^{2} - a - 5\) , \( -77 a^{2} + 175 a + 138\) , \( 636 a^{2} - 1457 a - 1114\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 4 & 2 \\
4 & 1 & 4 & 2 \\
4 & 4 & 1 & 2 \\
2 & 2 & 2 & 1
\end{array}\right)\)
