Properties

Label 5520.n
Number of curves $1$
Conductor $5520$
CM no
Rank $0$

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

Elliptic curves in class 5520.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.n1 5520c1 \([0, -1, 0, 7615, -1127283]\) \(190737654201344/2245153696875\) \(-574759346400000\) \([]\) \(19200\) \(1.5130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5520.n do not have complex multiplication.

Modular form 5520.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 3 q^{7} + q^{9} + 4 q^{11} - q^{15} + 3 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display