Elliptic curve isogeny class with LMFDB label 12675.w (Cremona label 12675c)

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

Elliptic curves in class 12675.w

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12675.w1	12675c1	\([1, 1, 0, -2200, 58375]\)	\(-4225/3\)	\(-836748046875\)	\([]\)	\(15120\)	\(0.98764\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12675.w1 has rank \(1\).

Complex multiplication

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

Modular form 12675.2.a.w