Elliptic curve isogeny class 2916.2-h over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-2916.2-h
• Conductor: 2916.2
• Rank: \( 1 \)

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

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

Elliptic curves in class 2916.2-h over \(\Q(\sqrt{-7}) \)

Isogeny class 2916.2-h contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
2916.2-h1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 40 a - 29\) , \( 60 a + 69\bigr] \)
2916.2-h2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -5 a + 1\) , \( 3 a - 5\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph