Elliptic curve isogeny class with Cremona label 374790bb (LMFDB label 374790.bb)

• Label: 374790bb
• Number of curves: $1$
• Conductor: $374790$
• CM: no
• Rank: $1$

Rank

The elliptic curve 374790bb1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1 - T\)
\(13\)	\(1 + T\)
\(31\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 - 4 T + 7 T^{2}\)	1.7.ae
\(11\)	\( 1 + 2 T + 11 T^{2}\)	1.11.c
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 7 T + 23 T^{2}\)	1.23.h
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 374790bb do not have complex multiplication.

Modular form 374790.2.a.bb

Elliptic curves in class 374790bb

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
374790.bb1	374790bb1	\([1, 1, 0, -108532957, 435253430839]\)	\(-172501027721881/44489250\)	\(-36464647766560600889250\)	\([]\)	\(77405760\)	\(3.3148\)	\(\Gamma_0(N)\)-optimal