Elliptic curve isogeny class with LMFDB label 12870.y (Cremona label 12870y)

• Label: 12870.y
• Number of curves: $1$
• Conductor: $12870$
• CM: no
• Rank: $1$

Elliptic curves in class 12870.y

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12870.y1	12870y1	\([1, -1, 0, -8424, -295520]\)	\(-90694355177089/7436000\)	\(-5420844000\)	\([]\)	\(14400\)	\(0.91249\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12870.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12870.y do not have complex multiplication.

Modular form 12870.2.a.y