Base field \(\Q(\sqrt{61}) \)
Generator \(a\), with minimal polynomial \( x^{2} - x - 15 \); class number \(1\).
Elliptic curves in class 36.1-d over \(\Q(\sqrt{61}) \)
Isogeny class 36.1-d contains only one elliptic curve.
Curve label | Weierstrass Coefficients |
---|---|
36.1-d1 | \( \bigl[a\) , \( a - 1\) , \( a + 1\) , \( 587 a - 2575\) , \( 17233 a - 75900\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)