Elliptic curve isogeny class with Cremona label 46818m (LMFDB label 46818.i)

• Label: 46818m
• Number of curves: $1$
• Conductor: $46818$
• CM: no
• Rank: $0$

Rank

The elliptic curve 46818m1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 - 3 T + 7 T^{2}\)	1.7.ad
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(19\)	\( 1 + 5 T + 19 T^{2}\)	1.19.f
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 - 7 T + 29 T^{2}\)	1.29.ah
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 46818m do not have complex multiplication.

Modular form 46818.2.a.m

Isogeny graph

Elliptic curves in class 46818m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
46818.i1	46818m1	\([1, -1, 1, 6448, -223465]\)	\(3087/4\)	\(-38422471985028\)	\([]\)	\(221952\)	\(1.2926\)	\(\Gamma_0(N)\)-optimal