Elliptic curves in class 98.1-d over \(\Q(\sqrt{23}) \)
Isogeny class 98.1-d contains
8 curves linked by isogenies of
degrees dividing 16.
Curve label |
Weierstrass Coefficients |
98.1-d1
| \( \bigl[a\) , \( 1\) , \( a\) , \( -77610 a - 372201\) , \( 25832079 a + 123886304\bigr] \)
|
98.1-d2
| \( \bigl[a\) , \( 1\) , \( a\) , \( -75 a - 356\) , \( 15363 a + 73684\bigr] \)
|
98.1-d3
| \( \bigl[a\) , \( 1\) , \( a\) , \( 32730 a + 156969\) , \( -2454981 a - 11773676\bigr] \)
|
98.1-d4
| \( \bigl[a\) , \( 1\) , \( a\) , \( -8745 a - 41936\) , \( -345713 a - 1657976\bigr] \)
|
98.1-d5
| \( \bigl[a\) , \( 1\) , \( a\) , \( -4875 a - 23376\) , \( 391131 a + 1875804\bigr] \)
|
98.1-d6
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 77610 a - 372205\) , \( 25987299 a - 124630708\bigr] \)
|
98.1-d7
| \( \bigl[1\) , \( -1\) , \( 1\) , \( 8745 a - 41940\) , \( -328223 a + 1574102\bigr] \)
|
98.1-d8
| \( \bigl[1\) , \( -1\) , \( 1\) , \( -32730 a + 156965\) , \( -2520441 a + 12087612\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 8 & 16 & 8 & 4 & 16 & 2 & 4 \\
8 & 1 & 8 & 4 & 2 & 8 & 4 & 8 \\
16 & 8 & 1 & 2 & 4 & 4 & 8 & 16 \\
8 & 4 & 2 & 1 & 2 & 2 & 4 & 8 \\
4 & 2 & 4 & 2 & 1 & 4 & 2 & 4 \\
16 & 8 & 4 & 2 & 4 & 1 & 8 & 16 \\
2 & 4 & 8 & 4 & 2 & 8 & 1 & 2 \\
4 & 8 & 16 & 8 & 4 & 16 & 2 & 1
\end{array}\right)\)