Elliptic curve isogeny class 11.2-b over number field 4.4.12725.1

• Base field: 4.4.12725.1
• Label: 4.4.12725.1-11.2-b
• Conductor: 11.2
• Rank: \( 1 \)

Base field 4.4.12725.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 10 x^{2} + 11 x + 29 \); class number \(1\).

Elliptic curves in class 11.2-b over 4.4.12725.1

Isogeny class 11.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
11.2-b1	\( \bigl[a^{2} - a - 6\) , \( -a^{3} + 8 a + 5\) , \( a^{3} - 6 a - 6\) , \( 12 a^{3} + 7 a^{2} - 99 a - 126\) , \( 72 a^{3} + 47 a^{2} - 597 a - 791\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph