# Properties

 Label 36414bo Number of curves $1$ Conductor $36414$ CM no Rank $0$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bo1")

sage: E.isogeny_class()

## Elliptic curves in class 36414bo

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36414.f1 36414bo1 $$[1, -1, 0, 4715559, -1685570387]$$ $$2280364702703/1560674304$$ $$-7936539448657906630656$$ $$[]$$ $$3329280$$ $$2.8908$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 36414bo1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 36414bo do not have complex multiplication.

## Modular form 36414.2.a.bo

sage: E.q_eigenform(10)

$$q - q^{2} + q^{4} - 3q^{5} + q^{7} - q^{8} + 3q^{10} - 5q^{11} - q^{14} + q^{16} + 6q^{19} + O(q^{20})$$