Properties

Label 3168.h
Number of curves 11
Conductor 31683168
CM no
Rank 00

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

Elliptic curves in class 3168.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3168.h1 3168h1 [0,0,0,72,3024][0, 0, 0, 72, -3024] 13824/133113824/1331 3974344704-3974344704 [][] 13441344 0.521370.52137 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3168.h1 has rank 00.

Complex multiplication

The elliptic curves in class 3168.h do not have complex multiplication.

Modular form 3168.2.a.h

sage: E.q_eigenform(10)
 
qq5q116q13+4q176q19+O(q20)q - q^{5} - q^{11} - 6 q^{13} + 4 q^{17} - 6 q^{19} + O(q^{20}) Copy content Toggle raw display