Properties

Label 9196.b
Number of curves 11
Conductor 91969196
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 9196.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9196.b1 9196d1 [0,1,0,645,65089][0, -1, 0, -645, 65089] 65536/3971-65536/3971 1800926395136-1800926395136 [][] 57605760 1.03141.0314 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9196.b1 has rank 11.

Complex multiplication

The elliptic curves in class 9196.b do not have complex multiplication.

Modular form 9196.2.a.b

sage: E.q_eigenform(10)
 
qq3+q52q9+2q13q15+4q17q19+O(q20)q - q^{3} + q^{5} - 2 q^{9} + 2 q^{13} - q^{15} + 4 q^{17} - q^{19} + O(q^{20}) Copy content Toggle raw display