Elliptic curve isogeny class 14.1-e over number field 3.3.1492.1

• Base field: 3.3.1492.1
• Label: 3.3.1492.1-14.1-e
• Conductor: 14.1
• Rank: \( 1 \)

Base field 3.3.1492.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 9 x - 5 \); class number \(1\).

Elliptic curves in class 14.1-e over 3.3.1492.1

Isogeny class 14.1-e contains 2 curves linked by isogenies of degree 2.

Curve label	Weierstrass Coefficients
14.1-e1	\( \bigl[a^{2} - a - 5\) , \( -a^{2} + a + 6\) , \( 1\) , \( 4509 a^{2} - 7334 a - 35988\) , \( -285705 a^{2} + 464695 a + 2280220\bigr] \)
14.1-e2	\( \bigl[a^{2} - a - 5\) , \( -a^{2} + a + 6\) , \( 1\) , \( 279 a^{2} - 454 a - 2228\) , \( -3783 a^{2} + 6153 a + 30192\bigr] \)

Rank

Rank: \( 1 \)

Isogeny matrix

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

Isogeny graph