Elliptic curve isogeny class 8.3-d over number field 4.4.13968.1

• Base field: 4.4.13968.1
• Label: 4.4.13968.1-8.3-d
• Conductor: 8.3
• Rank: \( 1 \)

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 8.3-d over 4.4.13968.1

Isogeny class 8.3-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
8.3-d1	\( \bigl[0\) , \( -\frac{1}{2} a^{3} + \frac{1}{2} a^{2} + 2 a - 2\) , \( \frac{1}{2} a^{2} + \frac{1}{2} a - 2\) , \( \frac{23}{2} a^{3} + 14 a^{2} - \frac{67}{2} a - 12\) , \( -35 a^{3} - 43 a^{2} + 102 a + 42\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph