Elliptic curve isogeny class 121.1-CMa over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-121.1-CMa
• Conductor: 121.1
• Rank: \( 0 \)

Base field \(\Q(\sqrt{-7}) \)

Generator \(a\), with minimal polynomial \( x^{2} - x + 2 \); 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 121.1-CMa over \(\Q(\sqrt{-7}) \)

Isogeny class 121.1-CMa contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
121.1-CMa1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -3 a\) , \( 2 a - 2\bigr] \)
121.1-CMa2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -43 a + 5\) , \( 131 a - 124\bigr] \)