Elliptic curve isogeny class with Cremona label 381150bf (LMFDB label 381150.bf)

• Label: 381150bf
• Number of curves: $1$
• Conductor: $381150$
• CM: no
• Rank: $1$

Rank

The elliptic curve 381150bf1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(7\)	\(1 + T\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(13\)	\( 1 + 3 T + 13 T^{2}\)	1.13.d
\(17\)	\( 1 - T + 17 T^{2}\)	1.17.ab
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + 5 T + 23 T^{2}\)	1.23.f
\(29\)	\( 1 - 9 T + 29 T^{2}\)	1.29.aj
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 381150bf do not have complex multiplication.

Modular form 381150.2.a.bf

Elliptic curves in class 381150bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
381150.bf1	381150bf1	\([1, -1, 0, 2368008, 460346816]\)	\(49121680078125/31497124736\)	\(-941609437781055120000\)	\([]\)	\(16128000\)	\(2.7135\)	\(\Gamma_0(N)\)-optimal