Elliptic curve isogeny class 16.1-f over number field 4.4.13025.1

• Base field: 4.4.13025.1
• Label: 4.4.13025.1-16.1-f
• Conductor: 16.1
• Rank: \( 1 \)

Base field 4.4.13025.1

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

Elliptic curves in class 16.1-f over 4.4.13025.1

Isogeny class 16.1-f contains only one elliptic curve.

Curve label	Weierstrass Coefficients
16.1-f1	\( \bigl[-\frac{1}{4} a^{3} + \frac{3}{2} a^{2} + \frac{1}{2} a - \frac{29}{4}\) , \( -a^{2} + 2 a + 5\) , \( a\) , \( \frac{7}{2} a^{3} + 30 a^{2} - 68 a - \frac{571}{2}\) , \( -69 a^{3} + 11 a^{2} + 655 a + 538\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph