Base field \(\Q(\sqrt{15}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 15 \); class number \(2\).
Elliptic curves in class 75.1-c over \(\Q(\sqrt{15}) \)
Isogeny class 75.1-c contains 2 curves linked by isogenies of degree 5.
| Curve label | Weierstrass Coefficients |
|---|---|
| 75.1-c1 | \( \bigl[0\) , \( a + 1\) , \( 0\) , \( -266 a - 1028\) , \( -5216 a - 20202\bigr] \) |
| 75.1-c2 | \( \bigl[0\) , \( 1\) , \( 1\) , \( 2\) , \( 4\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)
Isogeny graph
