Elliptic curve isogeny class with Cremona label 91091c (LMFDB label 91091.n)

• Label: 91091c
• Number of curves: $1$
• Conductor: $91091$
• CM: no
• Rank: $0$

Rank

The elliptic curve 91091c1 has rank \(0\).

L-function data

Bad L-factors:

Prime	L-Factor
\(7\)	\(1\)
\(11\)	\(1 + T\)
\(13\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(2\)	\( 1 + 2 T + 2 T^{2}\)	1.2.c
\(3\)	\( 1 + 3 T^{2}\)	1.3.a
\(5\)	\( 1 - 4 T + 5 T^{2}\)	1.5.ae
\(17\)	\( 1 - 2 T + 17 T^{2}\)	1.17.ac
\(19\)	\( 1 - 5 T + 19 T^{2}\)	1.19.af
\(23\)	\( 1 - 3 T + 23 T^{2}\)	1.23.ad
\(29\)	\( 1 + 29 T^{2}\)	1.29.a
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 91091c do not have complex multiplication.

Modular form 91091.2.a.c

Isogeny graph

Elliptic curves in class 91091c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
91091.n1	91091c1	\([1, 0, 1, -173, -24503]\)	\(-169/77\)	\(-258733327853\)	\([]\)	\(124416\)	\(0.86904\)	\(\Gamma_0(N)\)-optimal