Elliptic curve isogeny class with LMFDB label 1470.a (Cremona label 1470a)

• Label: 1470.a
• Number of curves: $1$
• Conductor: $1470$
• CM: no
• Rank: $1$

Elliptic curves in class 1470.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1470.a1	1470a1	\([1, 1, 0, -613, 15373]\)	\(-10637008249/37791360\)	\(-90737055360\)	\([]\)	\(1680\)	\(0.78852\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1470.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1470.a do not have complex multiplication.

Modular form 1470.2.a.a