Properties

Label 60840.v
Number of curves 11
Conductor 6084060840
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 60840.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.v1 60840bl1 [0,0,0,85683,371293][0, 0, 0, -85683, -371293] 43264/2543264/25 4019953622316840040199536223168400 [][] 449280449280 1.87561.8756 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.v1 has rank 11.

Complex multiplication

The elliptic curves in class 60840.v do not have complex multiplication.

Modular form 60840.2.a.v

sage: E.q_eigenform(10)
 
qq5+3q73q11+3q17+5q19+O(q20)q - q^{5} + 3 q^{7} - 3 q^{11} + 3 q^{17} + 5 q^{19} + O(q^{20}) Copy content Toggle raw display