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

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-49284.6-e
• Conductor: 49284.6
• Rank: \( 1 \)

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

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

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph

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

Isogeny class 49284.6-e contains 2 curves linked by isogenies of degree 13.

Curve label	Weierstrass Coefficients
49284.6-e1	\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -50372 a - 74159\) , \( -9739903 a - 6661995\bigr] \)
49284.6-e2	\( \bigl[a\) , \( -a + 1\) , \( a\) , \( -97 a - 269\) , \( 3472 a - 1530\bigr] \)