Elliptic curve isogeny class 49.2-c over number field 4.4.4205.1

• Base field: 4.4.4205.1
• Label: 4.4.4205.1-49.2-c
• Conductor: 49.2
• Rank: \( 1 \)

Base field 4.4.4205.1

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

Elliptic curves in class 49.2-c over 4.4.4205.1

Isogeny class 49.2-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
49.2-c1	\( \bigl[1\) , \( a^{3} - a^{2} - 4 a - 1\) , \( -a^{3} + 2 a^{2} + 3 a\) , \( -33 a^{3} + 54 a^{2} + 131 a - 50\) , \( 134 a^{3} - 221 a^{2} - 526 a + 206\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph