Properties

Label 115920.o
Number of curves $1$
Conductor $115920$
CM no
Rank $1$

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

Elliptic curves in class 115920.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
115920.o1 115920cu1 \([0, 0, 0, -10128, -392852]\) \(-615640662016/978075\) \(-182532268800\) \([]\) \(168960\) \(1.0588\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 115920.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 115920.o do not have complex multiplication.

Modular form 115920.2.a.o

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