Elliptic curve isogeny class with LMFDB label 605.a (Cremona label 605c)

• Label: 605.a
• Number of curves: $1$
• Conductor: $605$
• CM: no
• Rank: $1$

Elliptic curves in class 605.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
605.a1	605c1	\([1, -1, 1, -12, 36]\)	\(-1459161/3125\)	\(-378125\)	\([]\)	\(120\)	\(-0.24084\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 605.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 605.a do not have complex multiplication.

Modular form 605.2.a.a