Elliptic Curve Isogeny Class 49.1-d over Number Field 6.6.485125.1

• Base field: 6.6.485125.1
• Label: 6.6.485125.1-49.1-d
• Conductor: 49.1
• Rank: not recorded

Base field 6.6.485125.1

Generator \(a\), with minimal polynomial \( x^{6} - 2 x^{5} - 4 x^{4} + 8 x^{3} + 2 x^{2} - 5 x + 1 \); class number \(1\).

Elliptic curves in class 49.1-d over 6.6.485125.1

Isogeny class 49.1-d contains only one elliptic curve.

Curve label	Weierstrass Coefficients
49.1-d1	\( \bigl[a^{4} - a^{3} - 3 a^{2} + 3 a + 2\) , \( -2 a^{5} + 3 a^{4} + 8 a^{3} - 10 a^{2} - 5 a + 4\) , \( a^{5} - 5 a^{3} + 4 a\) , \( -13 a^{5} + 21 a^{4} + 55 a^{3} - 79 a^{2} - 41 a + 43\) , \( -20 a^{5} + 30 a^{4} + 84 a^{3} - 118 a^{2} - 64 a + 68\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

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

Isogeny graph