Elliptic curve isogeny class 567.1-g over number field \(\Q(\sqrt{7}) \)

• Base field: \(\Q(\sqrt{7}) \)
• Label: 2.2.28.1-567.1-g
• Conductor: 567.1
• Rank: \( 0 \)

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

Generator \(a\), with minimal polynomial \( x^{2} - 7 \); class number \(1\).

Elliptic curves in class 567.1-g over \(\Q(\sqrt{7}) \)

Isogeny class 567.1-g contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
567.1-g1	\( \bigl[a\) , \( -1\) , \( 1\) , \( -665 a - 1758\) , \( -15679 a - 41483\bigr] \)
567.1-g2	\( \bigl[1\) , \( -1\) , \( a\) , \( -350 a + 924\) , \( 100940 a - 267064\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph