Properties

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

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Show commands: SageMath
E = EllipticCurve("be1")
 
E.isogeny_class()
 

Elliptic curves in class 54096.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.be1 54096bh1 \([0, -1, 0, -100, -356]\) \(-8904784/69\) \(-865536\) \([]\) \(6912\) \(-0.031487\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096.be1 has rank \(1\).

Complex multiplication

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

Modular form 54096.2.a.be

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + q^{9} + 4 q^{11} + q^{13} - q^{15} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display