Elliptic curve isogeny class 39.1-a over number field 4.4.19821.1

• Base field: 4.4.19821.1
• Label: 4.4.19821.1-39.1-a
• Conductor: 39.1
• Rank: \( 0 \)

Base field 4.4.19821.1

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

Elliptic curves in class 39.1-a over 4.4.19821.1

Isogeny class 39.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
39.1-a1	\( \bigl[0\) , \( -1\) , \( \frac{1}{3} a^{3} + \frac{1}{3} a^{2} - 2 a - 1\) , \( \frac{4}{3} a^{3} - \frac{14}{3} a^{2} + 2 a + 2\) , \( -\frac{4}{3} a^{3} + \frac{14}{3} a^{2} - 3 a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph