Elliptic curve isogeny class with Cremona label 57330bm (LMFDB label 57330.l)

• Label: 57330bm
• Number of curves: $1$
• Conductor: $57330$
• CM: no
• Rank: $0$

Rank

The elliptic curve 57330bm1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(17\)	\( 1 + 6 T + 17 T^{2}\)	1.17.g
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 57330bm do not have complex multiplication.

Modular form 57330.2.a.bm

Elliptic curves in class 57330bm

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57330.l1	57330bm1	\([1, -1, 0, -374700510, 2792197807636]\)	\(-28253264609835195889/4297784624640\)	\(-885018963073301985277440\)	\([]\)	\(16450560\)	\(3.6075\)	\(\Gamma_0(N)\)-optimal