Properties

Label 16560p
Number of curves $1$
Conductor $16560$
CM no
Rank $1$

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

Elliptic curves in class 16560p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
16560.v1 16560p1 \([0, 0, 0, 68532, 30368108]\) \(190737654201344/2245153696875\) \(-418999563525600000\) \([]\) \(153600\) \(2.0623\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 16560p1 has rank \(1\).

Complex multiplication

The elliptic curves in class 16560p do not have complex multiplication.

Modular form 16560.2.a.p

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