Elliptic curve isogeny class with Cremona label 107648bq (LMFDB label 107648.p)

• Label: 107648bq
• Number of curves: $1$
• Conductor: $107648$
• CM: no
• Rank: $1$

Rank

The elliptic curve 107648bq1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(29\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 4 T + 19 T^{2}\)	1.19.ae
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 107648bq do not have complex multiplication.

Modular form 107648.2.a.bq

Elliptic curves in class 107648bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
107648.p1	107648bq1	\([0, -1, 0, -19, 131]\)	\(-128\)	\(-6243584\)	\([]\)	\(12544\)	\(-0.013179\)	\(\Gamma_0(N)\)-optimal