Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("h1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5520.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.h1 5520n1 \([0, -1, 0, -21, -99]\) \(-262144/1035\) \(-4239360\) \([]\) \(1152\) \(-0.042932\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520.h1 has rank \(0\).

Complex multiplication

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

Modular form 5520.2.a.h

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + 3 q^{7} + q^{9} + 4 q^{11} + q^{15} - 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display