Properties

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

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("go1")

sage: E.isogeny_class()

Elliptic curves in class 424830.go

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.go1 424830go1 $$[1, 0, 0, -1288946, -638082474]$$ $$-288568081/47250$$ $$-38777644419075875250$$ $$[]$$ $$15863040$$ $$2.4862$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 424830.go1 has rank $$1$$.

Complex multiplication

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

Modular form 424830.2.a.go

sage: E.q_eigenform(10)

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