Base field \(\Q(\sqrt{19}) \)
Generator \(a\), with minimal polynomial \( x^{2} - 19 \); class number \(1\).
Elliptic curves in class 144.2-c over \(\Q(\sqrt{19}) \)
Isogeny class 144.2-c contains 2 curves linked by isogenies of degree 2.
| Curve label | Weierstrass Coefficients |
|---|---|
| 144.2-c1 | \( \bigl[0\) , \( 0\) , \( 0\) , \( -2 a + 7\) , \( 0\bigr] \) |
| 144.2-c2 | \( \bigl[0\) , \( 0\) , \( 0\) , \( 22778 a + 99287\) , \( 0\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)
Isogeny graph
