Elliptic curve isogeny class 9.1-a over number field 4.4.13525.1

• Base field: 4.4.13525.1
• Label: 4.4.13525.1-9.1-a
• Conductor: 9.1
• Rank: \( 1 \)

Base field 4.4.13525.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 12 x^{2} + 8 x + 29 \); class number \(1\).

Elliptic curves in class 9.1-a over 4.4.13525.1

Isogeny class 9.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
9.1-a1	\( \bigl[a + 1\) , \( -\frac{1}{5} a^{3} - a^{2} + \frac{7}{5} a + \frac{24}{5}\) , \( \frac{1}{5} a^{3} + a^{2} - \frac{7}{5} a - \frac{24}{5}\) , \( \frac{212}{5} a^{3} + 54 a^{2} - \frac{1944}{5} a - \frac{2718}{5}\) , \( -\frac{2068}{5} a^{3} - 531 a^{2} + \frac{18756}{5} a + \frac{26272}{5}\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph