Base field 4.4.12197.1
Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 5 x^{2} + 3 x + 1 \); class number \(1\).
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
Elliptic curves in class 37.1-b over 4.4.12197.1
Isogeny class 37.1-b contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 37.1-b1 | \( \bigl[a^{2} + a - 2\) , \( a^{2} - 3\) , \( a\) , \( 3 a^{3} + 4 a^{2} - 5 a - 1\) , \( 5 a^{3} + 7 a^{2} - 7 a - 2\bigr] \) |