Properties

Label 43560.bi
Number of curves 11
Conductor 4356043560
CM no
Rank 11

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Show commands: SageMath
E = EllipticCurve("bi1")
 
E.isogeny_class()
 

Elliptic curves in class 43560.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43560.bi1 43560co1 [0,0,0,33,209][0, 0, 0, 33, -209] 2816/152816/15 21170160-21170160 [][] 76807680 0.0877900.087790 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43560.bi1 has rank 11.

Complex multiplication

The elliptic curves in class 43560.bi do not have complex multiplication.

Modular form 43560.2.a.bi

sage: E.q_eigenform(10)
 
q+q54q72q13+q17+O(q20)q + q^{5} - 4 q^{7} - 2 q^{13} + q^{17} + O(q^{20}) Copy content Toggle raw display