Elliptic curve isogeny class with Cremona label 76050bp (LMFDB label 76050.r)

• Label: 76050bp
• Number of curves: $1$
• Conductor: $76050$
• CM: no
• Rank: $0$

Rank

The elliptic curve 76050bp1 has rank \(0\).

L-function data

Bad L-factors:

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

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 7 T^{2}\)	1.7.a
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(17\)	\( 1 + 2 T + 17 T^{2}\)	1.17.c
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 - T + 23 T^{2}\)	1.23.ab
\(29\)	\( 1 - 10 T + 29 T^{2}\)	1.29.ak
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 76050bp do not have complex multiplication.

Modular form 76050.2.a.bp

Elliptic curves in class 76050bp

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
76050.r1	76050bp1	\([1, -1, 0, -30042, -4759884]\)	\(-1557701041/4199040\)	\(-8083217610000000\)	\([]\)	\(516096\)	\(1.7398\)	\(\Gamma_0(N)\)-optimal