Elliptic curves in class 20.3-a over 3.3.1396.1
Isogeny class 20.3-a contains
4 curves linked by isogenies of
degrees dividing 6.
Curve label |
Weierstrass Coefficients |
20.3-a1
| \( \bigl[a^{2} - 5\) , \( a - 1\) , \( 0\) , \( -3 a^{2} - 4 a + 12\) , \( -9 a^{2} - 15 a + 19\bigr] \)
|
20.3-a2
| \( \bigl[a^{2} - 5\) , \( a - 1\) , \( 0\) , \( -203 a^{2} - 374 a + 362\) , \( -4073 a^{2} - 7507 a + 7163\bigr] \)
|
20.3-a3
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a^{2} - 5\) , \( 4209 a^{2} + 7762 a - 7392\) , \( -1506114 a^{2} - 2776380 a + 2648427\bigr] \)
|
20.3-a4
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a^{2} - 5\) , \( -337566 a^{2} - 622268 a + 593603\) , \( -257569576 a^{2} - 474804914 a + 452924609\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 3 & 2 & 6 \\
3 & 1 & 6 & 2 \\
2 & 6 & 1 & 3 \\
6 & 2 & 3 & 1
\end{array}\right)\)