Base field 4.4.8112.1
Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} + 3 \); class number \(1\).
Elliptic curves in class 27.2-d over 4.4.8112.1
Isogeny class 27.2-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 27.2-d1 | \( \bigl[a^{3} + a^{2} - 3 a - 3\) , \( a^{3} + a^{2} - 3 a - 3\) , \( 1\) , \( a^{3} + 3 a^{2} - 3\) , \( a^{3} + 2 a^{2}\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
