Elliptic curve isogeny class 28224.7-k over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-28224.7-k
• Conductor: 28224.7
• Rank: \( 1 \)

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

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

Elliptic curves in class 28224.7-k over \(\Q(\sqrt{-7}) \)

Isogeny class 28224.7-k contains 2 curves linked by isogenies of degree 13.

Curve label	Weierstrass Coefficients
28224.7-k1	\( \bigl[0\) , \( -a\) , \( a + 1\) , \( -6386 a - 6387\) , \( 375788 a + 70049\bigr] \)
28224.7-k2	\( \bigl[0\) , \( -a\) , \( a + 1\) , \( -16 a - 17\) , \( -42 a - 21\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph