Properties

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

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Show commands: SageMath
E = EllipticCurve("cc1")
 
E.isogeny_class()
 

Elliptic curves in class 54096cc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54096.a1 54096cc1 \([0, -1, 0, -12805, -755159]\) \(-3211264/1587\) \(-114761784361728\) \([]\) \(274176\) \(1.4030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54096cc1 has rank \(0\).

Complex multiplication

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

Modular form 54096.2.a.cc

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{5} + q^{9} - 2 q^{11} - q^{13} + 4 q^{15} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display