Elliptic curve isogeny class with LMFDB label 3825.k (Cremona label 3825g)

• Label: 3825.k
• Number of curves: $1$
• Conductor: $3825$
• CM: no
• Rank: $1$

Elliptic curves in class 3825.k

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
3825.k1	3825g1	\([1, -1, 0, -27, -54]\)	\(-121945/17\)	\(-309825\)	\([]\)	\(360\)	\(-0.21489\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 3825.k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3825.k do not have complex multiplication.

Modular form 3825.2.a.k