Elliptic curve isogeny class with Cremona label 156816bd (LMFDB label 156816.bn)

• Label: 156816bd
• Number of curves: $1$
• Conductor: $156816$
• CM: no
• Rank: $1$

Rank

The elliptic curve 156816bd1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(3\)	\(1\)
\(11\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + T + 5 T^{2}\)	1.5.b
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 4 T + 17 T^{2}\)	1.17.ae
\(19\)	\( 1 - 2 T + 19 T^{2}\)	1.19.ac
\(23\)	\( 1 + 23 T^{2}\)	1.23.a
\(29\)	\( 1 + 4 T + 29 T^{2}\)	1.29.e
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 156816bd do not have complex multiplication.

Modular form 156816.2.a.bd

Elliptic curves in class 156816bd

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
156816.bn1	156816bd1	\([0, 0, 0, 297, 594]\)	\(1584\)	\(-1829101824\)	\([]\)	\(51840\)	\(0.46628\)	\(\Gamma_0(N)\)-optimal