Base field \(\Q(\zeta_{20})^+\)
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} + 5 \); class number \(1\).
Elliptic curves in class 59.3-b over \(\Q(\zeta_{20})^+\)
Isogeny class 59.3-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 59.3-b1 | \( \bigl[a + 1\) , \( -a^{2} + a + 2\) , \( a^{3} + a^{2} - 2 a - 3\) , \( -2 a^{3} - a^{2} + 6 a + 3\) , \( 3 a^{3} + 4 a^{2} - 5 a - 5\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
