Elliptic curve isogeny class 20.2-d over number field 4.4.13025.1

• Base field: 4.4.13025.1
• Label: 4.4.13025.1-20.2-d
• Conductor: 20.2
• 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 20.2-d over 4.4.13025.1

Isogeny class 20.2-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
20.2-d1	\( \bigl[a + 1\) , \( -a + 1\) , \( a^{2} - 6\) , \( \frac{131}{4} a^{3} + \frac{161}{2} a^{2} - \frac{813}{2} a - \frac{3949}{4}\) , \( \frac{1155}{2} a^{3} + 779 a^{2} - 6428 a - \frac{23863}{2}\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph