Elliptic curve isogeny class 11.2-b over number field 4.4.15952.1

• Base field: 4.4.15952.1
• Label: 4.4.15952.1-11.2-b
• Conductor: 11.2
• Rank: \( 1 \)

Base field 4.4.15952.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - 2 x + 1 \); class number \(1\).

Elliptic curves in class 11.2-b over 4.4.15952.1

Isogeny class 11.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
11.2-b1	\( \bigl[-a^{3} + a^{2} + 5 a - 2\) , \( -2 a^{3} + a^{2} + 10 a - 1\) , \( a^{2} - a - 2\) , \( 2 a^{3} - 5 a^{2} + 1\) , \( -14 a^{3} + 31 a^{2} + 15 a - 7\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph