# Properties

 Label 424830.ga Number of curves $1$ Conductor $424830$ CM no Rank $0$

# Learn more

Show commands for: SageMath
sage: E = EllipticCurve("ga1")

sage: E.isogeny_class()

## Elliptic curves in class 424830.ga

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.ga1 424830ga1 $$[1, 1, 1, -4460, -131713]$$ $$-288568081/47250$$ $$-1606526507250$$ $$[]$$ $$933120$$ $$1.0696$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 424830.ga1 has rank $$0$$.

## Complex multiplication

The elliptic curves in class 424830.ga do not have complex multiplication.

## Modular form 424830.2.a.ga

sage: E.q_eigenform(10)

$$q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + q^{8} + q^{9} + q^{10} + 2q^{11} - q^{12} - 4q^{13} - q^{15} + q^{16} + q^{18} - 6q^{19} + O(q^{20})$$