Elliptic curve isogeny class with LMFDB label 75712.bt (Cremona label 75712ck)

• Label: 75712.bt
• Number of curves: $1$
• Conductor: $75712$
• CM: no
• Rank: $1$

Elliptic curves in class 75712.bt

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
75712.bt1	75712ck1	\([0, 0, 0, -1573052, -761778992]\)	\(-32209663824/117649\)	\(-1572370900499316736\)	\([]\)	\(1078272\)	\(2.3524\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 75712.bt1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75712.bt do not have complex multiplication.

Modular form 75712.2.a.bt