Elliptic curve isogeny class with LMFDB label 2450.r (Cremona label 2450n)

• Label: 2450.r
• Number of curves: $1$
• Conductor: $2450$
• CM: no
• Rank: $0$

Rank

The elliptic curve 2450.r1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 - 3 T + 3 T^{2}\)	1.3.ad
\(11\)	\( 1 + 11 T^{2}\)	1.11.a
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 + T + 29 T^{2}\)	1.29.b
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 2450.r do not have complex multiplication.

Modular form 2450.2.a.r

Elliptic curves in class 2450.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2450.r1	2450n1	\([1, -1, 0, 383, 52541]\)	\(1323/256\)	\(-1200500000000\)	\([]\)	\(5760\)	\(0.99706\)	\(\Gamma_0(N)\)-optimal