Elliptic curve isogeny class with Cremona label 277350b (LMFDB label 277350.b)

• Label: 277350b
• Number of curves: $1$
• Conductor: $277350$
• CM: no
• Rank: $1$

Rank

The elliptic curve 277350b1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(5\)	\(1\)
\(43\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 5 T + 7 T^{2}\)	1.7.f
\(11\)	\( 1 + 3 T + 11 T^{2}\)	1.11.d
\(13\)	\( 1 - 4 T + 13 T^{2}\)	1.13.ae
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 - 6 T + 23 T^{2}\)	1.23.ag
\(29\)	\( 1 + 6 T + 29 T^{2}\)	1.29.g
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 277350b do not have complex multiplication.

Modular form 277350.2.a.b

Isogeny graph

Elliptic curves in class 277350b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
277350.b1	277350b1	\([1, 1, 0, -2790, -57900]\)	\(10397587781/192\)	\(44376000\)	\([]\)	\(330624\)	\(0.59255\)	\(\Gamma_0(N)\)-optimal