Properties

Label 361920n
Number of curves $1$
Conductor $361920$
CM no
Rank $0$

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

Elliptic curves in class 361920n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
361920.n1 361920n1 \([0, -1, 0, 190239, -135127935]\) \(5809117569025678/63486938311875\) \(-8321359978414080000\) \([]\) \(7188480\) \(2.3115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 361920n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 361920n do not have complex multiplication.

Modular form 361920.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 2 q^{7} + q^{9} + q^{11} - q^{13} + q^{15} - 5 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display