Properties

Label 459.h
Number of curves 11
Conductor 459459
CM no
Rank 00

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

Elliptic curves in class 459.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459.h1 459e1 [0,0,1,27,101][0, 0, 1, 27, 101] 110592/289110592/289 5688387-5688387 [][] 180180 0.020133-0.020133 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 459.h1 has rank 00.

Complex multiplication

The elliptic curves in class 459.h do not have complex multiplication.

Modular form 459.2.a.h

sage: E.q_eigenform(10)
 
q+2q2+2q4+4q5+q7+8q106q11+q13+2q144q16+q177q19+O(q20)q + 2 q^{2} + 2 q^{4} + 4 q^{5} + q^{7} + 8 q^{10} - 6 q^{11} + q^{13} + 2 q^{14} - 4 q^{16} + q^{17} - 7 q^{19} + O(q^{20}) Copy content Toggle raw display