Properties

Label 15600.bu
Number of curves $1$
Conductor $15600$
CM no
Rank $1$

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

Elliptic curves in class 15600.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
15600.bu1 15600cx1 \([0, 1, 0, -60613, 5821103]\) \(-769623354048512/15247889631\) \(-487932468192000\) \([]\) \(67200\) \(1.6113\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 15600.bu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 15600.bu do not have complex multiplication.

Modular form 15600.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3q^{7} + q^{9} - 3q^{11} + q^{13} + 3q^{17} + O(q^{20})\)  Toggle raw display