Properties

Label 5880.o
Number of curves $1$
Conductor $5880$
CM no
Rank $0$

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

Elliptic curves in class 5880.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5880.o1 5880e1 \([0, -1, 0, 35215, -2954475]\) \(3272428544/4428675\) \(-6535790097580800\) \([]\) \(29568\) \(1.7204\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5880.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5880.o do not have complex multiplication.

Modular form 5880.2.a.o

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