Properties

Label 9200n
Number of curves 11
Conductor 92009200
CM no
Rank 00

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 9200n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9200.d1 9200n1 [0,1,0,167,5037][0, 1, 0, 167, -5037] 1024/231024/23 11500000000-11500000000 [][] 70407040 0.610730.61073 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9200n1 has rank 00.

Complex multiplication

The elliptic curves in class 9200n do not have complex multiplication.

Modular form 9200.2.a.n

sage: E.q_eigenform(10)
 
q2q33q7+q9+6q13+7q17+4q19+O(q20)q - 2 q^{3} - 3 q^{7} + q^{9} + 6 q^{13} + 7 q^{17} + 4 q^{19} + O(q^{20}) Copy content Toggle raw display