Elliptic curve isogeny class with Cremona label 293046ba (LMFDB label 293046.ba)

• Label: 293046ba
• Number of curves: $1$
• Conductor: $293046$
• CM: no
• Rank: $0$

Rank

The elliptic curve 293046ba1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 - T\)
\(13\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - T + 5 T^{2}\)	1.5.ab
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 293046ba do not have complex multiplication.

Modular form 293046.2.a.ba

Elliptic curves in class 293046ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
293046.ba1	293046ba1	\([1, 0, 1, -1018, -479620]\)	\(-169/144\)	\(-99272607582096\)	\([]\)	\(918528\)	\(1.3648\)	\(\Gamma_0(N)\)-optimal