# Properties

 Label 185150.bv Number of curves $1$ Conductor $185150$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("bv1")

sage: E.isogeny_class()

## Elliptic curves in class 185150.bv

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.bv1 185150k1 $$[1, -1, 1, 3541820, -51730359303]$$ $$84972077055/20040095362$$ $$-1158848958030643288281250$$ $$[]$$ $$21288960$$ $$3.2967$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 185150.bv1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 185150.bv do not have complex multiplication.

## Modular form 185150.2.a.bv

sage: E.q_eigenform(10)

$$q + q^{2} + q^{4} + q^{7} + q^{8} - 3q^{9} - 4q^{11} - 3q^{13} + q^{14} + q^{16} + q^{17} - 3q^{18} + O(q^{20})$$