Elliptic curve isogeny class with LMFDB label 11094.a (Cremona label 11094c)

• Label: 11094.a
• Number of curves: $1$
• Conductor: $11094$
• CM: no
• Rank: $1$

Rank

The elliptic curve 11094.a1 has rank \(1\).

L-function data

Bad L-factors:

Prime	L-Factor
\(2\)	\(1 + T\)
\(3\)	\(1 + T\)
\(43\)	\(1\)

Good L-factors:

Prime	L-Factor	Isogeny Class over \(\mathbb{F}_p\)
\(5\)	\( 1 + 2 T + 5 T^{2}\)	1.5.c
\(7\)	\( 1 + 4 T + 7 T^{2}\)	1.7.e
\(11\)	\( 1 - 3 T + 11 T^{2}\)	1.11.ad
\(13\)	\( 1 - 2 T + 13 T^{2}\)	1.13.ac
\(17\)	\( 1 - 3 T + 17 T^{2}\)	1.17.ad
\(19\)	\( 1 - T + 19 T^{2}\)	1.19.ab
\(23\)	\( 1 + 6 T + 23 T^{2}\)	1.23.g
\(29\)	\( 1 + 2 T + 29 T^{2}\)	1.29.c
$\cdots$	$\cdots$	$\cdots$

See L-function page for more information

Complex multiplication

The elliptic curves in class 11094.a do not have complex multiplication.

Modular form 11094.2.a.a

Isogeny graph

Elliptic curves in class 11094.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11094.a1	11094c1	\([1, 1, 0, -31471, -2272529]\)	\(-294937/18\)	\(-210387604996818\)	\([]\)	\(57792\)	\(1.5031\)	\(\Gamma_0(N)\)-optimal