Elliptic curve isogeny class with LMFDB label 5194.c (Cremona label 5194i)

• Label: 5194.c
• Number of curves: $1$
• Conductor: $5194$
• CM: no
• Rank: $1$

Elliptic curves in class 5194.c

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
5194.c1	5194i1	\([1, 0, 1, -1349, 18960]\)	\(-2305199161/1696\)	\(-199532704\)	\([]\)	\(3600\)	\(0.52670\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 5194.c1 has rank \(1\).

Complex multiplication

The elliptic curves in class 5194.c do not have complex multiplication.

Modular form 5194.2.a.c