Properties

Label 3920.o
Number of curves $1$
Conductor $3920$
CM no
Rank $0$

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

Elliptic curves in class 3920.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3920.o1 3920f1 \([0, -1, 0, -121, -475]\) \(-2249728/5\) \(-439040\) \([]\) \(768\) \(-0.034557\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3920.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3920.o do not have complex multiplication.

Modular form 3920.2.a.o

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