Properties

Label 135240.bu
Number of curves $1$
Conductor $135240$
CM no
Rank $0$

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

Elliptic curves in class 135240.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
135240.bu1 135240dn1 \([0, -1, 0, -38040, -2510388]\) \(1238039614322/157190625\) \(772945286400000\) \([]\) \(766080\) \(1.5859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 135240.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 135240.bu do not have complex multiplication.

Modular form 135240.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 6 q^{11} - 3 q^{13} - q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display