Properties

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

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

Elliptic curves in class 54096.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.o1 54096j1 \([0, -1, 0, -5336, 151824]\) \(-23923707806/621\) \(-436230144\) \([]\) \(32256\) \(0.76429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.o1 has rank \(1\).

Complex multiplication

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

Modular form 54096.2.a.o

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