Elliptic curve isogeny class 39204.1-c over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-39204.1-c
• Conductor: 39204.1
• Rank: \( 0 \)

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

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

Elliptic curves in class 39204.1-c over \(\Q(\sqrt{-7}) \)

Isogeny class 39204.1-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
39204.1-c1	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 4 a - 5\) , \( 3\bigr] \)
39204.1-c2	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -5 a - 8\) , \( -5 a - 6\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph