Properties

Label 35280bu
Number of curves $1$
Conductor $35280$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bu1")
 
E.isogeny_class()
 

Elliptic curves in class 35280bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35280.g1 35280bu1 \([0, 0, 0, -53508, -4773188]\) \(-2249728/5\) \(-37654757763840\) \([]\) \(161280\) \(1.4877\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35280bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 35280bu do not have complex multiplication.

Modular form 35280.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5 q^{11} - 7 q^{13} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display