Properties

Label 237160.bu
Number of curves $1$
Conductor $237160$
CM no
Rank $2$

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

Elliptic curves in class 237160.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.bu1 237160bu1 \([0, 1, 0, -1976, 226400]\) \(-196/5\) \(-21778011960320\) \([]\) \(403200\) \(1.2399\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160.bu1 has rank \(2\).

Complex multiplication

The elliptic curves in class 237160.bu do not have complex multiplication.

Modular form 237160.2.a.bu

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} - q^{15} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display