# Properties

 Label 379050.b Number of curves $1$ Conductor $379050$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("b1")

sage: E.isogeny_class()

## Elliptic curves in class 379050.b

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.b1 379050b1 $$[1, 1, 0, -154325, 21142125]$$ $$576500549021/58084992$$ $$40954457250000000$$ $$[]$$ $$4838400$$ $$1.9237$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 379050.b1 has rank $$1$$.

## Complex multiplication

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

## Modular form 379050.2.a.b

sage: E.q_eigenform(10)

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