Elliptic curve isogeny class 28.1-d over number field 4.4.5744.1

• Base field: 4.4.5744.1
• Label: 4.4.5744.1-28.1-d
• Conductor: 28.1
• Rank: \( 0 \)

Base field 4.4.5744.1

Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} - 2 x + 1 \); class number \(1\).

Elliptic curves in class 28.1-d over 4.4.5744.1

Isogeny class 28.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
28.1-d1	\( \bigl[-a^{3} + a^{2} + 4 a\) , \( -a^{3} + 6 a\) , \( a^{3} - 4 a\) , \( 32 a^{3} - 10 a^{2} - 127 a - 75\) , \( 89 a^{3} + 110 a^{2} - 575 a - 458\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{r} 1 \end{array}\right)\)

Isogeny graph