Properties

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

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Show commands for: SageMath
sage: E = EllipticCurve("k1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 424830.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
424830.k1 424830k1 [1, 1, 0, -49006458, -132079956588] [] 45826560 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.k1 has rank \(0\).

Complex multiplication

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

Modular form 424830.2.a.k

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