Elliptic curve isogeny class with Cremona label 141267bl (LMFDB label 141267.bq)

• Label: 141267bl
• Number of curves: $2$
• Conductor: $141267$
• CM: no
• Rank: $0$

Rank

The elliptic curves in class 141267bl have rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(3\)	\(1 + T\)
\(7\)	\(1\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 - 2 T + 2 T^{2}\)	1.2.ac
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 + 6 T + 13 T^{2}\)	1.13.g
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 7 T + 19 T^{2}\)	1.19.ah
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 + 8 T + 29 T^{2}\)	1.29.i
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 141267bl do not have complex multiplication.

Modular form 141267.2.a.bl

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.

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

Isogeny graph

The vertices are labelled with Cremona labels.

Elliptic curves in class 141267bl

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
141267.bq2	141267bl1	\([0, 1, 1, -2242, 43663]\)	\(-28672/3\)	\(-130463041107\)	\([]\)	\(169740\)	\(0.87191\)	\(\Gamma_0(N)\)-optimal
141267.bq1	141267bl2	\([0, 1, 1, -876752, -316528957]\)	\(-1713910976512/1594323\)	\(-69333409028945187\)	\([]\)	\(2206620\)	\(2.1544\)