Elliptic curve isogeny class with LMFDB label 8034.a (Cremona label 8034a)

• Label: 8034.a
• Number of curves: $1$
• Conductor: $8034$
• CM: no
• Rank: $2$

Elliptic curves in class 8034.a

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8034.a1	8034a1	\([1, 1, 0, -162, -810]\)	\(474734543401/36659142\)	\(36659142\)	\([]\)	\(4032\)	\(0.19589\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8034.a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 8034.a do not have complex multiplication.

Modular form 8034.2.a.a