# Properties

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

# Related objects

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 form3920.2.a.o

sage: E.q_eigenform(10)

$$q - q^{3} - q^{5} - 2q^{9} + 5q^{11} + 7q^{13} + q^{15} - 3q^{17} + 2q^{19} + O(q^{20})$$
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