# Properties

 Label 405600y Number of curves $1$ Conductor $405600$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("y1")

sage: E.isogeny_class()

## Elliptic curves in class 405600y

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.y1 405600y1 $$[0, -1, 0, 146467, -52939563]$$ $$6656/27$$ $$-1409582685888000000$$ $$[]$$ $$5990400$$ $$2.1651$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 405600y1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 405600y do not have complex multiplication.

## Modular form 405600.2.a.y

sage: E.q_eigenform(10)

$$q - q^{3} - 3q^{7} + q^{9} + 2q^{11} - 6q^{17} - 4q^{19} + O(q^{20})$$