Properties

Label 388080n
Number of curves $1$
Conductor $388080$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 388080n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388080.n1 388080n1 \([0, 0, 0, -60234573, 179935509103]\) \(-359442469227794176/9021375\) \(-606603018431718000\) \([]\) \(23224320\) \(2.9298\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388080n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 388080n do not have complex multiplication.

Modular form 388080.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{11} - 5 q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display