Elliptic curve isogeny class with LMFDB label 130050.bd (Cremona label 130050gx)

• Label: 130050.bd
• Number of curves: $1$
• Conductor: $130050$
• CM: no
• Rank: $1$

Rank

The elliptic curve 130050.bd1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1\)
\(5\)	\(1\)
\(17\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 - 4 T + 11 T^{2}\)	1.11.ae
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(19\)	\( 1 + 2 T + 19 T^{2}\)	1.19.c
\(23\)	\( 1 + T + 23 T^{2}\)	1.23.b
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 130050.bd do not have complex multiplication.

Modular form 130050.2.a.bd

Elliptic curves in class 130050.bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
130050.bd1	130050gx1	\([1, -1, 0, -4776357, -1710842859]\)	\(8855663715/4194304\)	\(5707591614424468684800\)	\([]\)	\(8401536\)	\(2.8688\)	\(\Gamma_0(N)\)-optimal