Properties

Label 54096.bd
Number of curves $1$
Conductor $54096$
CM no
Rank $0$

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

Elliptic curves in class 54096.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.bd1 54096z1 \([0, -1, 0, -28240, 2318464]\) \(-105484561/36501\) \(-861884421328896\) \([]\) \(258048\) \(1.5772\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54096.bd do not have complex multiplication.

Modular form 54096.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 2 q^{11} + 7 q^{13} - q^{15} - 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display