Elliptic curve isogeny class with LMFDB label 12996.i (Cremona label 12996n)

• Label: 12996.i
• Number of curves: $1$
• Conductor: $12996$
• CM: no
• Rank: $0$

Elliptic curves in class 12996.i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
12996.i1	12996n1	\([0, 0, 0, -69312, -7051052]\)	\(-4194304/19\)	\(-166817919419136\)	\([]\)	\(51840\)	\(1.5806\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 12996.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 12996.i do not have complex multiplication.

Modular form 12996.2.a.i