# Properties

 Label 193600.bc Number of curves $1$ Conductor $193600$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("193600.bc1")

sage: E.isogeny_class()

## Elliptic curves in class 193600.bc

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
193600.bc1 193600v1 [0, 1, 0, 92, 438] [] 53760 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 193600.bc1 has rank $$1$$.

## Modular form 193600.2.a.bc

sage: E.q_eigenform(10)

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