Elliptic curve isogeny class 27.2-b over number field 4.4.8112.1

• Base field: 4.4.8112.1
• Label: 4.4.8112.1-27.2-b
• Conductor: 27.2
• Rank: \( 0 \)

Base field 4.4.8112.1

Generator \(a\), with minimal polynomial \( x^{4} - 5 x^{2} + 3 \); class number \(1\).

Elliptic curves in class 27.2-b over 4.4.8112.1

Isogeny class 27.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
27.2-b1	\( \bigl[a^{3} + a^{2} - 4 a - 3\) , \( -a^{3} + a^{2} + 3 a - 3\) , \( a^{3} + a^{2} - 3 a - 2\) , \( -2 a^{2} - a + 6\) , \( -2 a^{3} - a^{2} + 6 a + 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph