Elliptic curve isogeny class 28672.9-e over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-28672.9-e
• Conductor: 28672.9
• Rank: \( 0 \)

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

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

Elliptic curves in class 28672.9-e over \(\Q(\sqrt{-7}) \)

Isogeny class 28672.9-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28672.9-e1	\( \bigl[0\) , \( -a\) , \( 0\) , \( -120 a + 121\) , \( 149 a - 990\bigr] \)
28672.9-e2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 4 a + 40\) , \( 56 a - 80\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph