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

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

Elliptic curves in class 8034.b

LMFDB label	Cremona label	Weierstrass coefficients	j-invariant	Discriminant	Torsion structure	Modular degree	Faltings height	Optimality
8034.b1	8034b1	\([1, 1, 0, 620, 31312]\)	\(26290801640375/431809118208\)	\(-431809118208\)	\([]\)	\(12096\)	\(0.91315\)	\(\Gamma_0(N)\)-optimal

Rank

The elliptic curve 8034.b1 has rank \(1\).

Complex multiplication

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

Modular form 8034.2.a.b