Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 60840.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.f1 60840a1 [0,0,0,2028,79092][0, 0, 0, -2028, 79092] 27648/65-27648/65 2168588747520-2168588747520 [][] 107520107520 1.05541.0554 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.f1 has rank 11.

Complex multiplication

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

Modular form 60840.2.a.f

sage: E.q_eigenform(10)
 
qq53q7+5q11+3q17+8q19+O(q20)q - q^{5} - 3 q^{7} + 5 q^{11} + 3 q^{17} + 8 q^{19} + O(q^{20}) Copy content Toggle raw display