# Properties

 Label 229320.e Number of curves $1$ Conductor $229320$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("e1")

sage: E.isogeny_class()

## Elliptic curves in class 229320.e

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
229320.e1 229320ba1 $$[0, 0, 0, -10326603, 13403543398]$$ $$-693346671296498/40610171875$$ $$-7133136721637472000000$$ $$[]$$ $$17971200$$ $$2.9493$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 229320.e1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 229320.e do not have complex multiplication.

## Modular form 229320.2.a.e

sage: E.q_eigenform(10)

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