Properties

Label 89280bp
Number of curves 11
Conductor 8928089280
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 89280bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
89280.t1 89280bp1 [0,0,0,2164908,1226186768][0, 0, 0, -2164908, 1226186768] 46974761601263432/6178001625-46974761601263432/6178001625 147579312033792000-147579312033792000 [][] 13578241357824 2.31442.3144 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 89280bp1 has rank 11.

Complex multiplication

The elliptic curves in class 89280bp do not have complex multiplication.

Modular form 89280.2.a.bp

sage: E.q_eigenform(10)
 
qq5q75q112q134q17q19+O(q20)q - q^{5} - q^{7} - 5 q^{11} - 2 q^{13} - 4 q^{17} - q^{19} + O(q^{20}) Copy content Toggle raw display