Elliptic curve isogeny class 36288.3-c over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-36288.3-c
• Conductor: 36288.3
• Rank: \( 0 \)

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

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

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph

Elliptic curves in class 36288.3-c over \(\Q(\sqrt{-7}) \)

Isogeny class 36288.3-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
36288.3-c1	\( \bigl[0\) , \( 0\) , \( 0\) , \( 6 a + 78\) , \( 218 a - 149\bigr] \)
36288.3-c2	\( \bigl[0\) , \( 0\) , \( 0\) , \( 96 a + 33\) , \( 344 a + 670\bigr] \)