Elliptic curve isogeny class with Cremona label 248430m (LMFDB label 248430.m)

• Label: 248430m
• Number of curves: $1$
• Conductor: $248430$
• CM: no
• Rank: $0$

Rank

The elliptic curve 248430m1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(17\)	\( 1 - 8 T + 17 T^{2}\)	1.17.ai
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 4 T + 23 T^{2}\)	1.23.e
\(29\)	\( 1 - 4 T + 29 T^{2}\)	1.29.ae
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 248430m do not have complex multiplication.

Modular form 248430.2.a.m

Elliptic curves in class 248430m

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
248430.m1	248430m1	\([1, 1, 0, -15733, -766163]\)	\(-52013812295809/307200\)	\(-2543923200\)	\([]\)	\(449280\)	\(0.99392\)	\(\Gamma_0(N)\)-optimal