Elliptic curve isogeny class 39204.3-j over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-39204.3-j
• Conductor: 39204.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 2 \\ 2 & 1 \end{array}\right)\)

Isogeny graph

Elliptic curves in class 39204.3-j over \(\Q(\sqrt{-11}) \)

Isogeny class 39204.3-j contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.3-j1	\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 67 a + 76\) , \( -431 a - 5072\bigr] \)
39204.3-j2	\( \bigl[a + 1\) , \( -1\) , \( 1\) , \( 67 a - 3884\) , \( 2737 a - 89024\bigr] \)