Elliptic curve isogeny class with LMFDB label 10470.e (Cremona label 10470e)

• Label: 10470.e
• Number of curves: $1$
• Conductor: $10470$
• CM: no
• Rank: $0$

Elliptic curves in class 10470.e

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
10470.e1	10470e1	\([1, 0, 0, -5, -15]\)	\(-13997521/83760\)	\(-83760\)	\([]\)	\(1152\)	\(-0.37162\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 10470.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10470.e do not have complex multiplication.

Modular form 10470.2.a.e