Elliptic curve isogeny class 28.1-b over number field 4.4.18736.1

• Base field: 4.4.18736.1
• Label: 4.4.18736.1-28.1-b
• Conductor: 28.1
• Rank: \( 1 \)

Base field 4.4.18736.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 5 x^{2} + 4 x + 5 \); class number \(1\).

Elliptic curves in class 28.1-b over 4.4.18736.1

Isogeny class 28.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
28.1-b1	\( \bigl[a^{3} - 2 a^{2} - 2 a + 2\) , \( -a^{3} + 3 a^{2} + 2 a - 6\) , \( a^{2} - 3\) , \( -4 a^{3} + 9 a^{2} + 13 a - 10\) , \( -17 a^{3} - 9 a^{2} + 131 a + 165\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph