Elliptic curve isogeny class 25.1-b over number field 4.4.19225.1

• Base field: 4.4.19225.1
• Label: 4.4.19225.1-25.1-b
• Conductor: 25.1
• Rank: \( 1 \)

Base field 4.4.19225.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 15 x^{2} + 2 x + 44 \); class number \(1\).

Elliptic curves in class 25.1-b over 4.4.19225.1

Isogeny class 25.1-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
25.1-b1	\( \bigl[-\frac{1}{2} a^{3} + \frac{5}{2} a^{2} + \frac{5}{2} a - 15\) , \( \frac{1}{2} a^{3} - \frac{5}{2} a^{2} - \frac{7}{2} a + 14\) , \( -a^{3} + 4 a^{2} + 7 a - 23\) , \( -\frac{13}{2} a^{3} + \frac{43}{2} a^{2} + \frac{85}{2} a - 101\) , \( -11 a^{3} + 36 a^{2} + 71 a - 176\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph