Elliptic curve isogeny class with Cremona label 12675d (LMFDB label 12675.z)

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

Elliptic curves in class 12675d

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12675.z1	12675d1	\([1, 1, 0, -278515, -56682530]\)	\(117161545345/19683\)	\(401400694536075\)	\([]\)	\(117936\)	\(1.8095\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12675d1 has rank \(1\).

Complex multiplication

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

Modular form 12675.2.a.d