Elliptic curve isogeny class with LMFDB label 35574.t (Cremona label 35574r)

• Label: 35574.t
• Number of curves: $1$
• Conductor: $35574$
• CM: no
• Rank: $2$

Elliptic curves in class 35574.t

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
35574.t1	35574r1	\([1, 0, 1, -3897, 105004]\)	\(-2047314227/314928\)	\(-1006425172368\)	\([]\)	\(72576\)	\(1.0321\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 35574.t1 has rank \(2\).

Complex multiplication

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

Modular form 35574.2.a.t