# Properties

 Label 379050l Number of curves $1$ Conductor $379050$ CM no Rank $1$

# Related objects

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

sage: E.isogeny_class()

## Elliptic curves in class 379050l

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.l1 379050l1 $$[1, 1, 0, 1574675, -3576507875]$$ $$23497109375/314399232$$ $$-5777808146548200000000$$ $$[]$$ $$31104000$$ $$2.8565$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 379050l1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 379050l do not have complex multiplication.

## Modular form 379050.2.a.l

sage: E.q_eigenform(10)

$$q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} - 2q^{11} - q^{12} + 5q^{13} + q^{14} + q^{16} + q^{17} - q^{18} + O(q^{20})$$