# Properties

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

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("a1")

sage: E.isogeny_class()

## Elliptic curves in class 379050.a

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
379050.a1 379050a1 $$[1, 1, 0, -24802659178775, -47543984677140376875]$$ $$-334669406963386806593721825931/888017186570895360$$ $$-4477378461292920926329896960000000$$ $$[]$$ $$22279795200$$ $$6.1179$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 379050.a1 has rank $$1$$.

## Complex multiplication

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

## Modular form 379050.2.a.a

sage: E.q_eigenform(10)

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