Elliptic curve isogeny class 8.4-a over number field 4.4.13968.1

• Base field: 4.4.13968.1
• Label: 4.4.13968.1-8.4-a
• Conductor: 8.4
• Rank: \( 0 \)

Base field 4.4.13968.1

Generator \(a\), with minimal polynomial \( x^{4} - 2 x^{3} - 7 x^{2} + 8 x + 4 \); class number \(1\).

Elliptic curves in class 8.4-a over 4.4.13968.1

Isogeny class 8.4-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
8.4-a1	\( \bigl[0\) , \( -\frac{1}{2} a^{3} + \frac{5}{2} a + 1\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 1\) , \( -\frac{29}{2} a^{3} + \frac{73}{2} a^{2} + 90 a - 153\) , \( -1678 a^{3} + \frac{8003}{2} a^{2} + \frac{20391}{2} a - 17355\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph