Elliptic curve isogeny class with Cremona label 156816t (LMFDB label 156816.q)

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

Rank

The elliptic curve 156816t1 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.ac
\(13\)	\( 1 - 3 T + 13 T^{2}\)	1.13.ad
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 + 8 T + 19 T^{2}\)	1.19.i
\(23\)	\( 1 - 4 T + 23 T^{2}\)	1.23.ae
\(29\)	\( 1 + 9 T + 29 T^{2}\)	1.29.j
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

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

Modular form 156816.2.a.t

Elliptic curves in class 156816t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
156816.q1	156816t1	\([0, 0, 0, -165891, 26006530]\)	\(-103938508377/16\)	\(-77720518656\)	\([]\)	\(483840\)	\(1.4948\)	\(\Gamma_0(N)\)-optimal