Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("z1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 424830z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
424830.z1 424830z1 [1, 1, 0, -24868, -1863728] [] 3024000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830z1 has rank \(1\).

Complex multiplication

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

Modular form 424830.2.a.z

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