Properties

Label 54720ef
Number of curves $1$
Conductor $54720$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ef1")
 
E.isogeny_class()
 

Elliptic curves in class 54720ef

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
54720.cl1 54720ef1 \([0, 0, 0, -27468, 1870992]\) \(-11993263569/972800\) \(-185904975052800\) \([]\) \(236544\) \(1.4842\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 54720ef1 has rank \(0\).

Complex multiplication

The elliptic curves in class 54720ef do not have complex multiplication.

Modular form 54720.2.a.ef

sage: E.q_eigenform(10)
 
\(q - q^{5} + 5 q^{7} + 4 q^{11} + q^{13} + 3 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display