Elliptic curves in class 30.1-c over \(\Q(\sqrt{15}) \)
Isogeny class 30.1-c contains
8 curves linked by isogenies of
degrees dividing 12.
Curve label |
Weierstrass Coefficients |
30.1-c1
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -432 a - 1675\) , \( -32562 a - 126115\bigr] \)
|
30.1-c2
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( 48 a + 185\) , \( 1182 a + 4577\bigr] \)
|
30.1-c3
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -14512 a - 56235\) , \( -288562 a - 1117635\bigr] \)
|
30.1-c4
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -2192 a - 8495\) , \( -99842 a - 386695\bigr] \)
|
30.1-c5
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -592 a - 2295\) , \( 12638 a + 48945\bigr] \)
|
30.1-c6
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -10672 a - 41355\) , \( -1204018 a - 4663203\bigr] \)
|
30.1-c7
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -9232 a - 35775\) , \( 929342 a + 3599337\bigr] \)
|
30.1-c8
| \( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -170672 a - 661355\) , \( -75956018 a - 294179203\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrrrrrr}
1 & 3 & 4 & 12 & 6 & 2 & 12 & 4 \\
3 & 1 & 12 & 4 & 2 & 6 & 4 & 12 \\
4 & 12 & 1 & 12 & 6 & 2 & 3 & 4 \\
12 & 4 & 12 & 1 & 2 & 6 & 4 & 3 \\
6 & 2 & 6 & 2 & 1 & 3 & 2 & 6 \\
2 & 6 & 2 & 6 & 3 & 1 & 6 & 2 \\
12 & 4 & 3 & 4 & 2 & 6 & 1 & 12 \\
4 & 12 & 4 & 3 & 6 & 2 & 12 & 1
\end{array}\right)\)