Properties

Label 273273.bd
Number of curves $1$
Conductor $273273$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 273273.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
273273.bd1 273273bd1 \([0, 1, 1, -48029960099, 4051489624129406]\) \(127680722384510660804608/1761798128013\) \(169079596499133991239646077\) \([]\) \(390094848\) \(4.5881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 273273.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 273273.bd do not have complex multiplication.

Modular form 273273.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} - 2 q^{5} + q^{9} + q^{11} - 2 q^{12} - 2 q^{15} + 4 q^{16} - 2 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display