Properties

Label 20160fe
Number of curves $1$
Conductor $20160$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("fe1")
 
E.isogeny_class()
 

Elliptic curves in class 20160fe

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20160.fa1 20160fe1 \([0, 0, 0, 18, 54]\) \(13824/35\) \(-1632960\) \([]\) \(2688\) \(-0.12405\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20160fe1 has rank \(1\).

Complex multiplication

The elliptic curves in class 20160fe do not have complex multiplication.

Modular form 20160.2.a.fe

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