Elliptic curve isogeny class 11.1-b over number field 4.4.7488.1

• Base field: 4.4.7488.1
• Label: 4.4.7488.1-11.1-b
• Conductor: 11.1
• Rank: \( 1 \)

Base field 4.4.7488.1

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

Elliptic curves in class 11.1-b over 4.4.7488.1

Isogeny class 11.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
11.1-b1	\( \bigl[a^{3} - a^{2} - 5 a\) , \( -a^{3} + 2 a^{2} + 4 a - 2\) , \( a^{2} - a - 1\) , \( -3 a^{3} + 4 a^{2} + 13 a - 1\) , \( -3 a^{3} + 3 a^{2} + 15 a + 5\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph