Properties

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

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 54096cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.e1 54096cb1 \([0, -1, 0, -4023112, -3119902736]\) \(-14943832855786297/85501108224\) \(-41202155034400260096\) \([]\) \(1797120\) \(2.6055\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096cb1 has rank \(0\).

Complex multiplication

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

Modular form 54096.2.a.cb

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