Elliptic curves in class 108.1-a over \(\Q(\sqrt{13}) \)
Isogeny class 108.1-a contains
8 curves linked by isogenies of
degrees dividing 20.
Curve label |
Weierstrass Coefficients |
108.1-a1
| \( \bigl[a\) , \( a\) , \( a\) , \( 1707 a - 4095\) , \( 53306 a - 122129\bigr] \)
|
108.1-a2
| \( \bigl[a\) , \( a\) , \( a\) , \( -18 a + 45\) , \( -19 a + 46\bigr] \)
|
108.1-a3
| \( \bigl[a\) , \( a\) , \( a\) , \( 82 a - 195\) , \( -239 a + 538\bigr] \)
|
108.1-a4
| \( \bigl[a\) , \( a\) , \( a\) , \( 1072 a - 2535\) , \( -26573 a + 61324\bigr] \)
|
108.1-a5
| \( \bigl[a\) , \( a\) , \( a\) , \( 692 a - 1695\) , \( 13615 a - 31880\bigr] \)
|
108.1-a6
| \( \bigl[1\) , \( -a - 1\) , \( a + 1\) , \( -83860 a - 122846\) , \( 19206619 a + 24409255\bigr] \)
|
108.1-a7
| \( \bigl[a\) , \( a\) , \( a\) , \( 27307 a - 65535\) , \( 3437626 a - 7866641\bigr] \)
|
108.1-a8
| \( \bigl[a\) , \( a\) , \( a\) , \( 16267 a - 79935\) , \( 4343002 a - 6682673\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 5 & 10 & 20 & 20 & 4 & 2 & 4 \\
5 & 1 & 2 & 4 & 4 & 20 & 10 & 20 \\
10 & 2 & 1 & 2 & 2 & 10 & 5 & 10 \\
20 & 4 & 2 & 1 & 4 & 20 & 10 & 5 \\
20 & 4 & 2 & 4 & 1 & 5 & 10 & 20 \\
4 & 20 & 10 & 20 & 5 & 1 & 2 & 4 \\
2 & 10 & 5 & 10 & 10 & 2 & 1 & 2 \\
4 & 20 & 10 & 5 & 20 & 4 & 2 & 1
\end{array}\right)\)