# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ej1")

sage: E.isogeny_class()

## Elliptic curves in class 46800ej

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46800.n1 46800ej1 $$[0, 0, 0, 43125, 38056250]$$ $$304175/21632$$ $$-630789120000000000$$ $$[]$$ $$604800$$ $$2.0950$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 46800ej1 has rank $$0$$.

## Complex multiplication

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

## Modular form 46800.2.a.ej

sage: E.q_eigenform(10)

$$q - 4q^{7} + q^{11} + q^{13} - 7q^{17} + 3q^{19} + O(q^{20})$$