Properties

Label 6336.h
Number of curves 11
Conductor 63366336
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 6336.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
6336.h1 6336s1 [0,0,0,144,864][0, 0, 0, -144, -864] 27648/11-27648/11 131383296-131383296 [][] 17921792 0.266670.26667 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 6336.h1 has rank 00.

Complex multiplication

The elliptic curves in class 6336.h do not have complex multiplication.

Modular form 6336.2.a.h

sage: E.q_eigenform(10)
 
q3q52q7q11+6q174q19+O(q20)q - 3 q^{5} - 2 q^{7} - q^{11} + 6 q^{17} - 4 q^{19} + O(q^{20}) Copy content Toggle raw display