Elliptic curve isogeny class 9801.3-c over number field \(\Q(\sqrt{-11}) \)

• Base field: \(\Q(\sqrt{-11}) \)
• Label: 2.0.11.1-9801.3-c
• Conductor: 9801.3
• Rank: \( 0 \)

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

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

Elliptic curves in class 9801.3-c over \(\Q(\sqrt{-11}) \)

Isogeny class 9801.3-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
9801.3-c1	\( \bigl[a\) , \( -a\) , \( a + 1\) , \( -19 a - 36\) , \( 4 a - 16\bigr] \)
9801.3-c2	\( \bigl[a\) , \( -a\) , \( a + 1\) , \( -184 a - 366\) , \( 2479 a + 1964\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph