# Properties

 Label 58800.ka Number of curves $1$ Conductor $58800$ CM no Rank $1$

# Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ka1")

sage: E.isogeny_class()

## Elliptic curves in class 58800.ka

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
58800.ka1 58800dr1 [0, 1, 0, 12, -477] [] 18432 $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 58800.ka1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 58800.ka do not have complex multiplication.

## Modular form 58800.2.a.ka

sage: E.q_eigenform(10)

$$q + q^{3} + q^{9} + 5q^{11} + 2q^{13} - 6q^{17} + 2q^{19} + O(q^{20})$$