Elliptic curve isogeny class 10000.5-CMa over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-10000.5-CMa
• Conductor: 10000.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 10000.5-CMa over \(\Q(\sqrt{-7}) \)

Isogeny class 10000.5-CMa contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
10000.5-CMa1	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 24 a - 8\) , \( 45 a + 37\bigr] \)
10000.5-CMa2	\( \bigl[a + 1\) , \( 1\) , \( 0\) , \( 399 a - 133\) , \( 2170 a + 2662\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph