Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Elliptic curves in class 1764.1-c over \(\Q(\sqrt{13}) \)
Isogeny class 1764.1-c contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1764.1-c1 | \( \bigl[a + 1\) , \( 1\) , \( 1\) , \( -21 a + 52\) , \( -5 a + 14\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
