Elliptic curve isogeny class 29.1-d over number field 4.4.5725.1

• Base field: 4.4.5725.1
• Label: 4.4.5725.1-29.1-d
• Conductor: 29.1
• Rank: \( 0 \)

Base field 4.4.5725.1

Generator \(a\), with minimal polynomial \( x^{4} - x^{3} - 8 x^{2} + 6 x + 11 \); class number \(1\).

Elliptic curves in class 29.1-d over 4.4.5725.1

Isogeny class 29.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
29.1-d1	\( \bigl[\frac{1}{3} a^{3} - \frac{5}{3} a + \frac{4}{3}\) , \( a^{2} + a - 4\) , \( 1\) , \( 4 a^{3} + 4 a^{2} - 25 a - 26\) , \( -\frac{29}{3} a^{3} - 9 a^{2} + \frac{169}{3} a + \frac{142}{3}\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph