Elliptic curve isogeny class 40000.1-CMa over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-40000.1-CMa
• Conductor: 40000.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 40000.1-CMa over \(\Q(\sqrt{-7}) \)

Isogeny class 40000.1-CMa contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
40000.1-CMa1	\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 40 a + 16\) , \( -53 a + 254\bigr] \)
40000.1-CMa2	\( \bigl[a\) , \( -a - 1\) , \( 0\) , \( 665 a + 266\) , \( -1678 a + 14004\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph