Elliptic curve isogeny class 18432.6-d over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-18432.6-d
• Conductor: 18432.6
• Rank: \( 0 \)

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

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

Elliptic curves in class 18432.6-d over \(\Q(\sqrt{-7}) \)

Isogeny class 18432.6-d contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
18432.6-d1	\( \bigl[0\) , \( a\) , \( 0\) , \( -10 a - 11\) , \( -21 a + 4\bigr] \)
18432.6-d2	\( \bigl[0\) , \( -a + 1\) , \( 0\) , \( 36 a - 73\) , \( -135 a + 191\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph