Elliptic curve isogeny class with LMFDB label 13475.a (Cremona label 13475k)

• Label: 13475.a
• Number of curves: $1$
• Conductor: $13475$
• CM: no
• Rank: $1$

Elliptic curves in class 13475.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
13475.a1	13475k1	\([0, 0, 1, -245, 1286]\)	\(552960/77\)	\(226474325\)	\([]\)	\(5760\)	\(0.32959\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 13475.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 13475.a do not have complex multiplication.

Modular form 13475.2.a.a