Elliptic curve isogeny class 7056.5-a over number field \(\Q(\sqrt{-7}) \)

• Base field: \(\Q(\sqrt{-7}) \)
• Label: 2.0.7.1-7056.5-a
• Conductor: 7056.5
• Rank: \( 0 \)

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

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

Elliptic curves in class 7056.5-a over \(\Q(\sqrt{-7}) \)

Isogeny class 7056.5-a contains 2 curves linked by isogenies of degree 13.

Curve label	Weierstrass Coefficients
7056.5-a1	\( \bigl[0\) , \( -1\) , \( a + 1\) , \( 19159 a - 6386\) , \( 662369 a + 968110\bigr] \)
7056.5-a2	\( \bigl[0\) , \( -1\) , \( a + 1\) , \( 49 a - 16\) , \( -111 a - 130\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 13 \\ 13 & 1 \end{array}\right)\)

Isogeny graph