Properties

Label 321600.dj
Number of curves 11
Conductor 321600321600
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("dj1")
 
E.isogeny_class()
 

Elliptic curves in class 321600.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
321600.dj1 321600dj1 [0,1,0,128033,144587937][0, -1, 0, -128033, 144587937] 56667352321/2170800000-56667352321/2170800000 8891596800000000000-8891596800000000000 [][] 51609605160960 2.31622.3162 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 321600.dj1 has rank 11.

Complex multiplication

The elliptic curves in class 321600.dj do not have complex multiplication.

Modular form 321600.2.a.dj

sage: E.q_eigenform(10)
 
qq3+q7+q9+q116q13+2q17+2q19+O(q20)q - q^{3} + q^{7} + q^{9} + q^{11} - 6 q^{13} + 2 q^{17} + 2 q^{19} + O(q^{20}) Copy content Toggle raw display