Properties

Label 5520s
Number of curves $1$
Conductor $5520$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 5520s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5520.m1 5520s1 \([0, -1, 0, -845, -12975]\) \(-260956266496/145546875\) \(-37260000000\) \([]\) \(5376\) \(0.73178\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5520s1 has rank \(1\).

Complex multiplication

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

Modular form 5520.2.a.s

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