# Properties

 Label 379050bj Number of curves $1$ Conductor $379050$ CM no Rank $0$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bj1")

sage: E.isogeny_class()

## Elliptic curves in class 379050bj

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.bj1 379050bj1 $$[1, 1, 0, -76717200, 10634897424000]$$ $$-15845994475/15495785088$$ $$-48831047024657020698750000000$$ $$[]$$ $$390700800$$ $$4.1839$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 379050bj1 has rank $$0$$.

## Complex multiplication

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

## Modular form 379050.2.a.bj

sage: E.q_eigenform(10)

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