Properties

Label 5328.o
Number of curves $1$
Conductor $5328$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 5328.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5328.o1 5328c1 \([0, 0, 0, -84, 268]\) \(351232/37\) \(6905088\) \([]\) \(960\) \(0.047066\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5328.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5328.o do not have complex multiplication.

Modular form 5328.2.a.o

sage: E.q_eigenform(10)
 
\(q + 2 q^{5} - q^{7} + q^{11} - 6 q^{13} + 4 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display