# Properties

 Label 22848.ca Number of curves $1$ Conductor $22848$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ca1")

sage: E.isogeny_class()

## Elliptic curves in class 22848.ca

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22848.ca1 22848bb1 $$[0, 1, 0, 14259, 597573]$$ $$5009339741732864/5271114033171$$ $$-337351298122944$$ $$[]$$ $$78336$$ $$1.4744$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 22848.ca1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 22848.ca do not have complex multiplication.

## Modular form 22848.2.a.ca

sage: E.q_eigenform(10)

$$q + q^{3} - q^{5} - q^{7} + q^{9} - 3q^{11} - 3q^{13} - q^{15} + q^{17} - 3q^{19} + O(q^{20})$$