Elliptic curve isogeny class 26244.2-g over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-26244.2-g
• Conductor: 26244.2
• Rank: \( 0 \)

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

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

Elliptic curves in class 26244.2-g over \(\Q(\sqrt{-7}) \)

Isogeny class 26244.2-g contains 2 curves linked by isogenies of degree 3.

Curve label	Weierstrass Coefficients
26244.2-g1	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( -5 a - 23\) , \( 27 a + 67\bigr] \)
26244.2-g2	\( \bigl[1\) , \( -1\) , \( a + 1\) , \( 40 a + 187\) , \( -588 a - 1011\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph