Properties

Label 292032.bi
Number of curves 11
Conductor 292032292032
CM no
Rank 00

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

Elliptic curves in class 292032.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
292032.bi1 292032bi1 [0,0,0,9126,355914][0, 0, 0, -9126, 355914] 13824-13824 6080389219008-6080389219008 [][] 646272646272 1.20261.2026 Γ0(N)\Gamma_0(N)-optimal

Rank

sage: E.rank()
 

The elliptic curve 292032.bi1 has rank 00.

Complex multiplication

The elliptic curves in class 292032.bi do not have complex multiplication.

Modular form 292032.2.a.bi

sage: E.q_eigenform(10)
 
q2q53q76q11+2q173q19+O(q20)q - 2 q^{5} - 3 q^{7} - 6 q^{11} + 2 q^{17} - 3 q^{19} + O(q^{20}) Copy content Toggle raw display