Elliptic curve isogeny class 49.2-b over number field 5.5.101833.1

• Base field: 5.5.101833.1
• Label: 5.5.101833.1-49.2-b
• Conductor: 49.2
• Rank: \( 0 \)

Base field 5.5.101833.1

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

Elliptic curves in class 49.2-b over 5.5.101833.1

Isogeny class 49.2-b contains only one elliptic curve.

Curve label	Weierstrass Coefficients
49.2-b1	\( \bigl[a^{2} + a - 2\) , \( a^{2} + a - 2\) , \( a^{4} - 4 a^{2} + 2 a + 1\) , \( -a^{4} + 3 a^{3} + 8 a^{2} - 10 a - 8\) , \( 8 a^{4} - 2 a^{3} - 38 a^{2} + 16 a + 18\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph