Elliptic curve isogeny class with Cremona label 141960be (LMFDB label 141960.ch)

• Label: 141960be
• Number of curves: $2$
• Conductor: $141960$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 141960be have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(7\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(17\)	\( 1 - 7 T + 17 T^{2}\)	1.17.ah
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 141960be do not have complex multiplication.

Modular form 141960.2.a.be

Isogeny matrix

The \(i,j\) entry is the smallest degree of a cyclic isogeny between the \(i\)-th and \(j\)-th curve in the isogeny class, in the Cremona numbering.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 141960be

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141960.ch1	141960be1	\([0, 1, 0, -293440, -61256272]\)	\(565357377316/257985\)	\(1275130183541760\)	\([2]\)	\(1548288\)	\(1.8557\)	\(\Gamma_0(N)\)-optimal
141960.ch2	141960be2	\([0, 1, 0, -246120, -81622800]\)	\(-166792350818/194041575\)	\(-1918160118956390400\)	\([2]\)	\(3096576\)	\(2.2023\)