Properties

Label 60840.d
Number of curves 11
Conductor 6084060840
CM no
Rank 22

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 60840.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60840.d1 60840m1 [0,0,0,2028,457652][0, 0, 0, -2028, 457652] 173056/16875-173056/16875 89946586080000-89946586080000 [][] 147456147456 1.35711.3571 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60840.d1 has rank 22.

Complex multiplication

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

Modular form 60840.2.a.d

sage: E.q_eigenform(10)
 
qq53q72q11+4q174q19+O(q20)q - q^{5} - 3 q^{7} - 2 q^{11} + 4 q^{17} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display