Elliptic curve isogeny class with LMFDB label 11197.a (Cremona label 11197a)

• Label: 11197.a
• Number of curves: $1$
• Conductor: $11197$
• CM: no
• Rank: $3$

Elliptic curves in class 11197.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11197.a1	11197a1	$[1, -1, 1, -6, 0]$	$20346417/11197$	$11197$	$[]$	$2080$	$-0.53244$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 11197.a1 has rank $3$.

Complex multiplication

The elliptic curves in class 11197.a do not have complex multiplication.

Modular form 11197.2.a.a