Elliptic curves in class 16.4-d over 3.3.940.1
Isogeny class 16.4-d contains
4 curves linked by isogenies of
degrees dividing 4.
Curve label |
Weierstrass Coefficients |
16.4-d1
| \( \bigl[a^{2} - 4\) , \( -a - 1\) , \( a^{2} - 4\) , \( 9453243 a^{2} - 5697518 a - 62738784\) , \( 27206223747 a^{2} - 16397325199 a - 180560817484\bigr] \)
|
16.4-d2
| \( \bigl[a^{2} - 4\) , \( -a - 1\) , \( a^{2} - 4\) , \( 590913 a^{2} - 356148 a - 3921744\) , \( 425398375 a^{2} - 256389699 a - 2823261292\bigr] \)
|
16.4-d3
| \( \bigl[a\) , \( -a^{2} + 2 a + 5\) , \( a^{2} - 4\) , \( 776001989 a^{2} - 467700226 a - 5150128688\) , \( 37939505091840 a^{2} - 22866326787280 a - 251794887741124\bigr] \)
|
16.4-d4
| \( \bigl[a\) , \( -a^{2} + 2 a + 6\) , \( a^{2} - a - 4\) , \( 27 a^{2} - 17 a - 175\) , \( 104 a^{2} - 55 a - 676\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 2 & 4 & 4 \\
2 & 1 & 2 & 2 \\
4 & 2 & 1 & 4 \\
4 & 2 & 4 & 1
\end{array}\right)\)