# Properties

 Label 369600.de Number of curves $1$ Conductor $369600$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("de1")

sage: E.isogeny_class()

## Elliptic curves in class 369600.de

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.de1 369600de1 $$[0, -1, 0, -44133, 4112637]$$ $$-37135043584/6847995$$ $$-1753086720000000$$ $$[]$$ $$2211840$$ $$1.6497$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 369600.de1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 369600.de do not have complex multiplication.

## Modular form 369600.2.a.de

sage: E.q_eigenform(10)

$$q - q^{3} - q^{7} + q^{9} - q^{11} + 6 q^{13} + 5 q^{17} - 5 q^{19} + O(q^{20})$$