Elliptic curve isogeny class with Cremona label 10816w (LMFDB label 10816.e)

• Label: 10816w
• Number of curves: $1$
• Conductor: $10816$
• CM: no
• Rank: $0$

Rank

The elliptic curve 10816w1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - 2 T + 5 T^{2}\)	1.5.ac
\(7\)	\( 1 + 2 T + 7 T^{2}\)	1.7.c
\(11\)	\( 1 - 2 T + 11 T^{2}\)	1.11.ac
\(17\)	\( 1 - 6 T + 17 T^{2}\)	1.17.ag
\(19\)	\( 1 - 6 T + 19 T^{2}\)	1.19.ag
\(23\)	\( 1 + 8 T + 23 T^{2}\)	1.23.i
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 10816w do not have complex multiplication.

Modular form 10816.2.a.w

Elliptic curves in class 10816w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10816.e1	10816w1	\([0, 0, 0, -61516, 5940688]\)	\(-74088\)	\(-347488235454464\)	\([]\)	\(89856\)	\(1.5974\)	\(\Gamma_0(N)\)-optimal