# Properties

 Label 46800z Number of curves $1$ Conductor $46800$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("z1")

sage: E.isogeny_class()

## Elliptic curves in class 46800z

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.b1 46800z1 $$[0, 0, 0, -77700, -8336500]$$ $$-17790954496/195$$ $$-568620000000$$ $$[]$$ $$184320$$ $$1.4098$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 46800z1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 46800z do not have complex multiplication.

## Modular form 46800.2.a.z

sage: E.q_eigenform(10)

$$q - 5q^{7} + q^{11} - q^{13} - 3q^{17} - 6q^{19} + O(q^{20})$$