Elliptic curve isogeny class with LMFDB label 279414.bq (Cremona label 279414bq)

• Label: 279414.bq
• Number of curves: $1$
• Conductor: $279414$
• CM: no
• Rank: $1$

Rank

The elliptic curve 279414.bq1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 - T\)
\(3\)	\(1\)
\(19\)	\(1\)
\(43\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 + 13 T^{2}\)	1.13.a
\(17\)	\( 1 + 4 T + 17 T^{2}\)	1.17.e
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 279414.bq do not have complex multiplication.

Modular form 279414.2.a.bq

Isogeny graph

Elliptic curves in class 279414.bq

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
279414.bq1	279414bq1	\([1, -1, 1, -4001, 98385]\)	\(26908709473/4128\)	\(1086361632\)	\([]\)	\(195840\)	\(0.74589\)	\(\Gamma_0(N)\)-optimal