Properties

Label 364560n
Number of curves $1$
Conductor $364560$
CM no
Rank $1$

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

Elliptic curves in class 364560n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
364560.n1 364560n1 \([0, -1, 0, 76424, 4437616]\) \(102437538839/77137920\) \(-37172015718727680\) \([]\) \(3484800\) \(1.8677\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 364560n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 364560n do not have complex multiplication.

Modular form 364560.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} - 3 q^{11} + 2 q^{13} + q^{15} - 8 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display