Elliptic curve isogeny class 41.2-c over number field 3.3.1825.1

• Base field: 3.3.1825.1
• Label: 3.3.1825.1-41.2-c
• Conductor: 41.2
• Rank: \( 0 \)

Base field 3.3.1825.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 8 x + 7 \); class number \(1\).

Elliptic curves in class 41.2-c over 3.3.1825.1

Isogeny class 41.2-c contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
41.2-c1	\( \bigl[a^{2} + a - 6\) , \( a - 1\) , \( 1\) , \( a^{2} + 9 a - 9\) , \( 4 a^{2} + 10 a - 35\bigr] \)
41.2-c2	\( \bigl[a^{2} + a - 6\) , \( a - 1\) , \( 1\) , \( a^{2} + 4 a + 6\) , \( 2 a^{2} + 5 a - 2\bigr] \)

Rank

Rank: \( 0 \)

Isogeny matrix

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

Isogeny graph