Elliptic curve isogeny class with LMFDB label 156816.r (Cremona label 156816u)

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

Rank

The elliptic curve 156816.r1 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 \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(13\)	\( 1 + T + 13 T^{2}\)	1.13.b
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 19 T^{2}\)	1.19.a
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 - 3 T + 29 T^{2}\)	1.29.ad
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 156816.2.a.r

Elliptic curves in class 156816.r

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
156816.r1	156816u1	\([0, 0, 0, -891, 26730]\)	\(-297\)	\(-263390662656\)	\([]\)	\(124416\)	\(0.87759\)	\(\Gamma_0(N)\)-optimal