Elliptic curve isogeny class with LMFDB label 12696.j (Cremona label 12696k)

• Label: 12696.j
• Number of curves: $1$
• Conductor: $12696$
• CM: no
• Rank: $1$

Elliptic curves in class 12696.j

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12696.j1	12696k1	\([0, -1, 0, 16223, 782293]\)	\(23552/27\)	\(-541285530262272\)	\([]\)	\(26496\)	\(1.5135\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12696.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12696.j do not have complex multiplication.

Modular form 12696.2.a.j