Elliptic curve isogeny class with LMFDB label 12675.bf (Cremona label 12675k)

• Label: 12675.bf
• Number of curves: $1$
• Conductor: $12675$
• CM: no
• Rank: $1$

Elliptic curves in class 12675.bf

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12675.bf1	12675k1	\([0, -1, 1, -1408, -185157]\)	\(-4096/195\)	\(-14706683671875\)	\([]\)	\(48384\)	\(1.2066\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12675.bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12675.bf do not have complex multiplication.

Modular form 12675.2.a.bf