Elliptic curve isogeny class 15876.1-a over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-15876.1-a
• Conductor: 15876.1
• Rank: \( 1 \)

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

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

Elliptic curves in class 15876.1-a over \(\Q(\sqrt{-7}) \)

Isogeny class 15876.1-a contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
15876.1-a1	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( -11 a + 13\) , \( 22 a + 7\bigr] \)
15876.1-a2	\( \bigl[a\) , \( -a - 1\) , \( a\) , \( 4 a - 26\) , \( -11 a + 62\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph