Properties

Label 20160.p
Number of curves $1$
Conductor $20160$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 20160.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
20160.p1 20160z1 \([0, 0, 0, 67302, 6593022]\) \(722603599520256/820654296875\) \(-38288446875000000\) \([]\) \(147840\) \(1.8684\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 20160.p1 has rank \(0\).

Complex multiplication

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

Modular form 20160.2.a.p

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - q^{11} + q^{13} + 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display