Properties

Label 54450.o
Number of curves $1$
Conductor $54450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 54450.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54450.o1 54450cg1 \([1, -1, 0, -567, -16659]\) \(-14641/80\) \(-110261250000\) \([]\) \(69120\) \(0.80291\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54450.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 54450.o do not have complex multiplication.

Modular form 54450.2.a.o

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