Elliptic curve isogeny class with LMFDB label 12675.a (Cremona label 12675n)

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

Elliptic curves in class 12675.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12675.a1	12675n1	\([0, -1, 1, -128158, 18256968]\)	\(-18264064/675\)	\(-8603409948046875\)	\([]\)	\(179712\)	\(1.8285\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12675.a1 has rank \(1\).

Complex multiplication

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

Modular form 12675.2.a.a