Properties

Label 321600.hg
Number of curves 11
Conductor 321600321600
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("hg1")
 
E.isogeny_class()
 

Elliptic curves in class 321600.hg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
321600.hg1 321600hg1 [0,1,0,1523333,724427037][0, 1, 0, -1523333, -724427037] 61084155520000/24361803-61084155520000/24361803 155915539200000000-155915539200000000 [][] 54374405437440 2.26292.2629 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 321600.hg1 has rank 00.

Complex multiplication

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

Modular form 321600.2.a.hg

sage: E.q_eigenform(10)
 
q+q3+q9+2q116q13+3q174q19+O(q20)q + q^{3} + q^{9} + 2 q^{11} - 6 q^{13} + 3 q^{17} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display