Properties

Label 87120.o
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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

Elliptic curves in class 87120.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.o1 87120db1 \([0, 0, 0, -63888, 6324912]\) \(-1216512/25\) \(-592659434188800\) \([]\) \(422400\) \(1.6262\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 87120.o do not have complex multiplication.

Modular form 87120.2.a.o

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