Base field \(\Q(\sqrt{13}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 3 \); class number \(1\).
Elliptic curves in class 1764.1-h over \(\Q(\sqrt{13}) \)
Isogeny class 1764.1-h contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 1764.1-h1 | \( \bigl[a + 1\) , \( a\) , \( 1\) , \( -a - 2\) , \( -12 a - 16\bigr] \) |
Rank
Rank: \( 0 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
