Elliptic curve isogeny class 25.2-a over number field 4.4.2624.1

• Base field: 4.4.2624.1
• Label: 4.4.2624.1-25.2-a
• Conductor: 25.2
• Rank: \( 1 \)

Base field 4.4.2624.1

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

Elliptic curves in class 25.2-a over 4.4.2624.1

Isogeny class 25.2-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
25.2-a1	\( \bigl[a^{3} - 2 a^{2} - a + 1\) , \( a^{3} - 3 a^{2} + a + 1\) , \( a^{3} - 2 a^{2} - a + 1\) , \( -2 a^{3} + 6 a^{2} + 2 a - 5\) , \( 2 a^{3} - 5 a^{2} - a + 3\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph