Elliptic curve isogeny class 36288.5-d over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-36288.5-d
• Conductor: 36288.5
• Rank: \( 1 \)

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

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

Elliptic curves in class 36288.5-d over \(\Q(\sqrt{-7}) \)

Isogeny class 36288.5-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
36288.5-d1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 69 a - 30\) , \( -11 a - 49\bigr] \)
36288.5-d2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 21 a + 219\) , \( 1001 a - 744\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph