Properties

Label 40950.bu
Number of curves $1$
Conductor $40950$
CM no
Rank $0$

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

Elliptic curves in class 40950.bu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
40950.bu1 40950bq1 \([1, -1, 0, -1692, 31216]\) \(-47045881/8736\) \(-99508500000\) \([]\) \(44800\) \(0.83477\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 40950.bu1 has rank \(0\).

Complex multiplication

The elliptic curves in class 40950.bu do not have complex multiplication.

Modular form 40950.2.a.bu

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{7} - q^{8} - 3 q^{11} + q^{13} - q^{14} + q^{16} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display