Base field 4.4.14272.1
Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 2 x + 3 \); class number \(1\).
Elliptic curves in class 12.1-d over 4.4.14272.1
Isogeny class 12.1-d contains only one elliptic curve.
| Curve label | Weierstrass Coefficients |
|---|---|
| 12.1-d1 | \( \bigl[1\) , \( -a^{2} + 3 a + 3\) , \( a^{3} - 2 a^{2} - 3 a + 1\) , \( -5 a^{3} + 12 a^{2} + 17 a - 11\) , \( -6 a^{3} + 15 a^{2} + 20 a - 22\bigr] \) |
Rank
Rank: \( 1 \)Isogeny matrix
\(\left(\begin{array}{r} 1 \end{array}\right)\)
Isogeny graph
