Elliptic curve isogeny class with Cremona label 2178i (LMFDB label 2178.k)

• Label: 2178i
• Number of curves: $1$
• Conductor: $2178$
• CM: no
• Rank: $0$

Elliptic curves in class 2178i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
2178.k1	2178i1	\([1, -1, 1, 194908, 50284743]\)	\(43307231/82944\)	\(-1568336880910795776\)	\([]\)	\(42240\)	\(2.1760\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 2178i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2178i do not have complex multiplication.

Modular form 2178.2.a.i