Properties

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

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

Elliptic curves in class 424830go

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 424830go1 has rank \(1\).

Complex multiplication

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

Modular form 424830.2.a.go

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{8} + q^{9} - q^{10} - 2q^{11} + q^{12} - 4q^{13} - q^{15} + q^{16} + q^{18} - 6q^{19} + O(q^{20})\)  Toggle raw display