Elliptic curve isogeny class 34.1-b over number field 4.4.7168.1

• Base field: 4.4.7168.1
• Label: 4.4.7168.1-34.1-b
• Conductor: 34.1
• Rank: \( 1 \)

Base field 4.4.7168.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} + 7 \); class number \(1\).

Elliptic curves in class 34.1-b over 4.4.7168.1

Isogeny class 34.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
34.1-b1	\( \bigl[a^{3} + a^{2} - 3 a - 2\) , \( -a^{3} - a^{2} + 4 a + 2\) , \( 1\) , \( -6 a^{3} + 5 a^{2} + 27 a - 20\) , \( -12 a^{3} + 14 a^{2} + 54 a - 60\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph