Elliptic curves in class 13475.4-B over 3.1.23.1
Isogeny class 13475.4-B contains
12 curves linked by isogenies of
degrees dividing 24.
| Curve label |
Weierstrass Coefficients |
| 13475.4-B1
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( 42 a^{2} + 245 a - 6\) , \( 1291 a^{2} - 1313 a - 1351\bigr] \)
|
| 13475.4-B2
| \( \bigl[a^{2} + 1\) , \( a^{2} + 1\) , \( 0\) , \( -2892 a^{2} + 8919 a + 8440\) , \( -563569 a^{2} + 6661 a + 326329\bigr] \)
|
| 13475.4-B3
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( -18 a^{2} + 60 a - 21\) , \( -110 a^{2} + 159 a - 111\bigr] \)
|
| 13475.4-B4
| \( \bigl[1\) , \( a^{2} - a + 1\) , \( a^{2} + 1\) , \( -2277 a^{2} + 3910 a - 2924\) , \( 69106 a^{2} - 124442 a + 94349\bigr] \)
|
| 13475.4-B5
| \( \bigl[a^{2} + a\) , \( a\) , \( a^{2} + a\) , \( -34672 a^{2} + 60697 a - 46267\) , \( 4479605 a^{2} - 7860500 a + 5938184\bigr] \)
|
| 13475.4-B6
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( -2508 a^{2} + 8740 a - 3721\) , \( 229338 a^{2} - 355017 a + 92409\bigr] \)
|
| 13475.4-B7
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( -3 a^{2} - 5 a - 1\) , \( -9 a^{2} + 9 a\bigr] \)
|
| 13475.4-B8
| \( \bigl[1\) , \( a^{2} - a + 1\) , \( a^{2} + 1\) , \( -1272 a^{2} + 1945 a - 1589\) , \( -27857 a^{2} + 50977 a - 38467\bigr] \)
|
| 13475.4-B9
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( -263 a^{2} + 170 a - 461\) , \( 3371 a^{2} - 2198 a + 3699\bigr] \)
|
| 13475.4-B10
| \( \bigl[a^{2} + a + 1\) , \( a\) , \( a^{2} + a + 1\) , \( -5272565 a^{2} + 9250153 a - 6984160\) , \( 8360247469 a^{2} - 14671278527 a + 11075013933\bigr] \)
|
| 13475.4-B11
| \( \bigl[a^{2}\) , \( -a\) , \( a^{2}\) , \( -115 a^{2} + 434 a + 392\) , \( -6134 a^{2} + 127 a + 3652\bigr] \)
|
| 13475.4-B12
| \( \bigl[a\) , \( a^{2} - a\) , \( a^{2} + a\) , \( -1213 a^{2} + 1035 a + 9\) , \( -7215 a^{2} + 17703 a + 6986\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrrrrrr}
1 & 8 & 4 & 2 & 24 & 4 & 3 & 24 & 12 & 6 & 8 & 12 \\
8 & 1 & 2 & 4 & 12 & 8 & 24 & 3 & 6 & 12 & 4 & 24 \\
4 & 2 & 1 & 2 & 6 & 4 & 12 & 6 & 3 & 6 & 2 & 12 \\
2 & 4 & 2 & 1 & 12 & 2 & 6 & 12 & 6 & 3 & 4 & 6 \\
24 & 12 & 6 & 12 & 1 & 24 & 8 & 4 & 2 & 4 & 3 & 8 \\
4 & 8 & 4 & 2 & 24 & 1 & 12 & 24 & 12 & 6 & 8 & 3 \\
3 & 24 & 12 & 6 & 8 & 12 & 1 & 8 & 4 & 2 & 24 & 4 \\
24 & 3 & 6 & 12 & 4 & 24 & 8 & 1 & 2 & 4 & 12 & 8 \\
12 & 6 & 3 & 6 & 2 & 12 & 4 & 2 & 1 & 2 & 6 & 4 \\
6 & 12 & 6 & 3 & 4 & 6 & 2 & 4 & 2 & 1 & 12 & 2 \\
8 & 4 & 2 & 4 & 3 & 8 & 24 & 12 & 6 & 12 & 1 & 24 \\
12 & 24 & 12 & 6 & 8 & 3 & 4 & 8 & 4 & 2 & 24 & 1
\end{array}\right)\)
