Elliptic curve isogeny class 28672.6-h over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-28672.6-h
• Conductor: 28672.6
• Rank: \( 1 \)

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

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

Elliptic curves in class 28672.6-h over \(\Q(\sqrt{-7}) \)

Isogeny class 28672.6-h contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
28672.6-h1	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( -4 a + 13\) , \( -3 a + 1\bigr] \)
28672.6-h2	\( \bigl[0\) , \( -a\) , \( 0\) , \( -26 a + 4\) , \( 64 a - 80\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph