Base field \(\Q(\sqrt{37}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 9 \); class number \(1\).
Elliptic curves in class 196.1-i over \(\Q(\sqrt{37}) \)
Isogeny class 196.1-i contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 196.1-i1 | \( \bigl[1\) , \( -1\) , \( a + 1\) , \( 129 a - 459\) , \( 2606 a - 9234\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
