Elliptic curve isogeny class with LMFDB label 57.a (Cremona label 57a)

• Label: 57.a
• Number of curves: $1$
• Conductor: $57$
• CM: no
• Rank: $1$

Elliptic curves in class 57.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
57.a1	57a1	$[0, -1, 1, -2, 2]$	$-1404928/171$	$-171$	$[]$	$4$	$-0.83655$	$\Gamma_0(N)$-optimal

Rank

The elliptic curve 57.a1 has rank $1$.

Complex multiplication

The elliptic curves in class 57.a do not have complex multiplication.

Modular form 57.2.a.a