Properties

Label 160080.e
Number of curves $1$
Conductor $160080$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 160080.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
160080.e1 160080br1 \([0, -1, 0, -506661, 138978765]\) \(3511697101967355904/41026753125\) \(168045580800000\) \([]\) \(1555200\) \(1.8803\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 160080.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 160080.e do not have complex multiplication.

Modular form 160080.2.a.e

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} - 2 q^{11} - 4 q^{13} + q^{15} - 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display