Elliptic curves in class 11.1-b over 3.3.1957.1
Isogeny class 11.1-b contains
6 curves linked by isogenies of
degrees dividing 8.
| Curve label |
Weierstrass Coefficients |
| 11.1-b1
| \( \bigl[a^{2} - 6\) , \( a^{2} - 7\) , \( 0\) , \( 6626091 a^{2} + 12665793 a - 22758313\) , \( 48496352729 a^{2} + 92700938961 a - 166568083554\bigr] \)
|
| 11.1-b2
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a\) , \( 23317913 a^{2} + 44572268 a - 80088908\) , \( -401919492463 a^{2} - 768270441835 a + 1380453494659\bigr] \)
|
| 11.1-b3
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a\) , \( -4096447 a^{2} - 7830372 a + 14069872\) , \( 9043930945 a^{2} + 17287503973 a - 31062753395\bigr] \)
|
| 11.1-b4
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a\) , \( -17197107 a^{2} - 32872327 a + 59066077\) , \( -80363961659 a^{2} - 153615979044 a + 276022222850\bigr] \)
|
| 11.1-b5
| \( \bigl[a + 1\) , \( a^{2} - 6\) , \( a\) , \( -267322687 a^{2} - 510988202 a + 918160342\) , \( -5479592630311 a^{2} - 10474259472621 a + 18820492505781\bigr] \)
|
| 11.1-b6
| \( \bigl[a + 1\) , \( a + 1\) , \( a + 1\) , \( -23702853 a^{2} - 45308081 a + 81411046\) , \( 144598509236 a^{2} + 276400529615 a - 496645525138\bigr] \)
|
Rank: \( 1 \)
\(\left(\begin{array}{rrrrrr}
1 & 8 & 2 & 4 & 8 & 4 \\
8 & 1 & 4 & 2 & 4 & 8 \\
2 & 4 & 1 & 2 & 4 & 2 \\
4 & 2 & 2 & 1 & 2 & 4 \\
8 & 4 & 4 & 2 & 1 & 8 \\
4 & 8 & 2 & 4 & 8 & 1
\end{array}\right)\)
