Elliptic curve isogeny class 23.1-a over number field 4.4.17989.1

• Base field: 4.4.17989.1
• Label: 4.4.17989.1-23.1-a
• Conductor: 23.1
• Rank: \( 0 \)

Base field 4.4.17989.1

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

Elliptic curves in class 23.1-a over 4.4.17989.1

Isogeny class 23.1-a contains only one elliptic curve.

Curve label	Weierstrass Coefficients
23.1-a1	\( \bigl[2 a^{3} - 3 a^{2} - 12 a - 1\) , \( a^{3} - a^{2} - 6 a - 1\) , \( 2 a^{3} - 3 a^{2} - 11 a\) , \( 3 a^{3} - 6 a^{2} - 28 a + 2\) , \( -105 a^{3} + 282 a^{2} + 169 a - 51\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph