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

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

Elliptic curves in class 1470.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
1470.k1	1470j1	\([1, 1, 1, -36, 69]\)	\(-105484561/1440\)	\(-70560\)	\([]\)	\(240\)	\(-0.26278\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 1470.k1 has rank \(1\).

Complex multiplication

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

Modular form 1470.2.a.k