Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("p1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5520.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.p1 5520w1 \([0, -1, 0, -1605, -27603]\) \(-111701610496/18862875\) \(-77262336000\) \([]\) \(7680\) \(0.81593\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520.p1 has rank \(0\).

Complex multiplication

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

Modular form 5520.2.a.p

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