Elliptic curve isogeny class with LMFDB label 270480.o (Cremona label 270480o)

• Label: 270480.o
• Number of curves: $1$
• Conductor: $270480$
• CM: no
• Rank: $0$

Rank

The elliptic curve 270480.o1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1 + T\)
\(5\)	\(1 + T\)
\(7\)	\(1\)
\(23\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 + 5 T + 17 T^{2}\)	1.17.f
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(29\)	\( 1 + 5 T + 29 T^{2}\)	1.29.f
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 270480.o do not have complex multiplication.

Modular form 270480.2.a.o

Elliptic curves in class 270480.o

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
270480.o1	270480o1	\([0, -1, 0, 23259, -1913715]\)	\(2887553024/4927635\)	\(-2374579528151040\)	\([]\)	\(1267200\)	\(1.6353\)	\(\Gamma_0(N)\)-optimal