Properties

Label 58800.et
Number of curves 11
Conductor 5880058800
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 58800.et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58800.et1 58800hm1 [0,1,0,1552,95808][0, -1, 0, 1552, -95808] 16468459/16588816468459/165888 4161798144000-4161798144000 [][] 101376101376 1.10251.1025 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58800.et1 has rank 00.

Complex multiplication

The elliptic curves in class 58800.et do not have complex multiplication.

Modular form 58800.2.a.et

sage: E.q_eigenform(10)
 
qq3+q9+5q11+q132q17+7q19+O(q20)q - q^{3} + q^{9} + 5 q^{11} + q^{13} - 2 q^{17} + 7 q^{19} + O(q^{20}) Copy content Toggle raw display