Elliptic curve isogeny class with LMFDB label 91600.p (Cremona label 91600z)

• Label: 91600.p
• Number of curves: $1$
• Conductor: $91600$
• CM: no
• Rank: $1$

Rank

The elliptic curve 91600.p1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1\)
\(5\)	\(1\)
\(229\)	\(1 - T\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(3\)	\( 1 + T + 3 T^{2}\)	1.3.b
\(7\)	\( 1 - 2 T + 7 T^{2}\)	1.7.ac
\(11\)	\( 1 - 5 T + 11 T^{2}\)	1.11.af
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 + T + 19 T^{2}\)	1.19.b
\(23\)	\( 1 + 2 T + 23 T^{2}\)	1.23.c
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 91600.p do not have complex multiplication.

Modular form 91600.2.a.p

Elliptic curves in class 91600.p

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
91600.p1	91600z1	\([0, -1, 0, -133, 512]\)	\(1048576/229\)	\(57250000\)	\([]\)	\(20160\)	\(0.20229\)	\(\Gamma_0(N)\)-optimal