Elliptic curve isogeny class with Cremona label 35574i (LMFDB label 35574.f)

• Label: 35574i
• Number of curves: $1$
• Conductor: $35574$
• CM: no
• Rank: $1$

Elliptic curves in class 35574i

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35574.f1	35574i1	\([1, 1, 0, -47555, 789174093]\)	\(-1375/31104\)	\(-269054391286093488768\)	\([]\)	\(1034880\)	\(2.5990\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 35574i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35574i do not have complex multiplication.

Modular form 35574.2.a.i