Elliptic curve isogeny class with Cremona label 11774b (LMFDB label 11774.c)

• Label: 11774b
• Number of curves: $1$
• Conductor: $11774$
• CM: no
• Rank: $1$

Elliptic curves in class 11774b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
11774.c1	11774b1	\([1, 0, 1, -85800, 9692022]\)	\(-117433042273/363776\)	\(-216382448420096\)	\([]\)	\(53760\)	\(1.6187\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 11774b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 11774b do not have complex multiplication.

Modular form 11774.2.a.b