Elliptic curve isogeny class with LMFDB label 174570.ba (Cremona label 174570cb)

• Label: 174570.ba
• Number of curves: $1$
• Conductor: $174570$
• CM: no
• Rank: $1$

Elliptic curves in class 174570.ba

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
174570.ba1	174570cb1	\([1, 0, 1, 79681936, -114945423298]\)	\(714464515562294471/486357734522880\)	\(-38087153389521761237729280\)	\([]\)	\(64296960\)	\(3.5971\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 174570.ba1 has rank \(1\).

Complex multiplication

The elliptic curves in class 174570.ba do not have complex multiplication.

Modular form 174570.2.a.ba