# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("l1")

sage: E.isogeny_class()

## Elliptic curves in class 369600.l

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
369600.l1 369600l1 $$[0, -1, 0, -275063, -55515603]$$ $$-287694679349431808/487245834999$$ $$-3897966679992000$$ $$[]$$ $$3760128$$ $$1.8867$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 369600.l1 has rank $$0$$.

## Complex multiplication

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

## Modular form 369600.2.a.l

sage: E.q_eigenform(10)

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