Elliptic curve isogeny class with LMFDB label 705.b (Cremona label 705e)

• Label: 705.b
• Number of curves: $1$
• Conductor: $705$
• CM: no
• Rank: $1$

Elliptic curves in class 705.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
705.b1	705e1	\([1, 0, 0, -36, 81]\)	\(-5168743489/57105\)	\(-57105\)	\([]\)	\(80\)	\(-0.27220\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 705.b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 705.b do not have complex multiplication.

Modular form 705.2.a.b