Elliptic curve isogeny class 25.2-c over number field 4.4.16997.1

• Base field: 4.4.16997.1
• Label: 4.4.16997.1-25.2-c
• Conductor: 25.2
• Rank: \( 0 \)

Base field 4.4.16997.1

Generator \(a\), with minimal polynomial \( x^{4} - 6 x^{2} - x + 5 \); class number \(1\).

Elliptic curves in class 25.2-c over 4.4.16997.1

Isogeny class 25.2-c contains only one elliptic curve.

Curve label	Weierstrass Coefficients
25.2-c1	\( \bigl[a^{3} - a^{2} - 3 a + 3\) , \( -a^{3} + 2 a^{2} + 3 a - 5\) , \( a^{3} - 4 a - 1\) , \( -3 a^{3} + 6 a^{2} + 4 a - 5\) , \( -33 a^{3} + 43 a^{2} + 140 a - 139\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph