Elliptic curve isogeny class 33.1-c over number field 4.4.18736.1

• Base field: 4.4.18736.1
• Label: 4.4.18736.1-33.1-c
• Conductor: 33.1
• Rank: \( 1 \)

Base field 4.4.18736.1

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

Elliptic curves in class 33.1-c over 4.4.18736.1

Isogeny class 33.1-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
33.1-c1	\( \bigl[a^{3} - a^{2} - 4 a\) , \( -a^{3} + a^{2} + 3 a + 1\) , \( a^{2} - 2\) , \( 178 a^{3} - 649 a^{2} + 121 a + 613\) , \( -2853 a^{3} + 10100 a^{2} - 1368 a - 9147\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph