# Properties

 Label 405600.ba Number of curves $1$ Conductor $405600$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("ba1")

sage: E.isogeny_class()

## Elliptic curves in class 405600.ba

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
405600.ba1 405600ba1 $$[0, -1, 0, -82950833, 291406809537]$$ $$-326938350400/767637$$ $$-148209487213320000000000$$ $$[]$$ $$77414400$$ $$3.3264$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 405600.ba1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 405600.ba do not have complex multiplication.

## Modular form 405600.2.a.ba

sage: E.q_eigenform(10)

$$q - q^{3} - 3q^{7} + q^{9} + 3q^{11} + 7q^{17} + 8q^{19} + O(q^{20})$$