Properties

Label 800.h
Number of curves 11
Conductor 800800
CM no
Rank 00

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

Elliptic curves in class 800.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
800.h1 800e1 [0,1,0,208,1412][0, 1, 0, -208, -1412] 5000-5000 200000000-200000000 [][] 240240 0.315580.31558 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 800.h1 has rank 00.

Complex multiplication

The elliptic curves in class 800.h do not have complex multiplication.

Modular form 800.2.a.h

sage: E.q_eigenform(10)
 
q+q32q72q9+5q11+5q17+5q19+O(q20)q + q^{3} - 2 q^{7} - 2 q^{9} + 5 q^{11} + 5 q^{17} + 5 q^{19} + O(q^{20}) Copy content Toggle raw display