Elliptic curve isogeny class 42592.6-d over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-42592.6-d
• Conductor: 42592.6
• Rank: \( 1 \)

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

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

Elliptic curves in class 42592.6-d over \(\Q(\sqrt{-7}) \)

Isogeny class 42592.6-d contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
42592.6-d1	\( \bigl[a\) , \( a\) , \( a\) , \( 148 a - 98\) , \( -1422 a + 1051\bigr] \)
42592.6-d2	\( \bigl[a\) , \( a\) , \( a\) , \( -17 a + 12\) , \( 52 a - 49\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph