Elliptic curve isogeny class 5184.7-CMa over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-5184.7-CMa
• Conductor: 5184.7
• Rank: \( 0 \)

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

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

Elliptic curves in class 5184.7-CMa over \(\Q(\sqrt{-7}) \)

Isogeny class 5184.7-CMa contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
5184.7-CMa1	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -15 a + 20\) , \( -7 a - 36\bigr] \)
5184.7-CMa2	\( \bigl[a + 1\) , \( 1\) , \( a + 1\) , \( -240 a + 335\) , \( -277 a - 2538\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph