Elliptic curve isogeny class with LMFDB label 1570.a (Cremona label 1570b)

• Label: 1570.a
• Number of curves: $1$
• Conductor: $1570$
• CM: no
• Rank: $2$

Elliptic curves in class 1570.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1570.a1	1570b1	\([1, 0, 1, -4, 6]\)	\(-4826809/15700\)	\(-15700\)	\([]\)	\(176\)	\(-0.50852\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1570.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 1570.a do not have complex multiplication.

Modular form 1570.2.a.a