Elliptic curve isogeny class 49284.6-d over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-49284.6-d
• Conductor: 49284.6
• Rank: \( 2 \)

Base field \(\Q(\sqrt{-11}) \)

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

Rank

Rank: \( 2 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 5 \\ 5 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 49284.6-d over \(\Q(\sqrt{-11}) \)

Isogeny class 49284.6-d contains 2 curves linked by isogenies of degree 5.

Curve label	Weierstrass Coefficients
49284.6-d1	\( \bigl[a + 1\) , \( a\) , \( 0\) , \( 5 a - 26\) , \( 3 a - 48\bigr] \)
49284.6-d2	\( \bigl[1\) , \( a\) , \( a + 1\) , \( -2 a - 2\) , \( 6 a + 23\bigr] \)