Properties

Label 77760.bu
Number of curves $1$
Conductor $77760$
CM no
Rank $0$

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

Elliptic curves in class 77760.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
77760.bu1 77760cm1 \([0, 0, 0, 999252, 451382928]\) \(13857745529076264/19073486328125\) \(-151875000000000000000\) \([]\) \(1860480\) \(2.5582\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 77760.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 77760.bu do not have complex multiplication.

Modular form 77760.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{5} + 2 q^{7} - 3 q^{11} + 2 q^{13} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display