Properties

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

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Show commands: SageMath
E = EllipticCurve("dy1")
 
E.isogeny_class()
 

Elliptic curves in class 424830dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.dy1 424830dy1 \([1, 0, 1, -2378, -105892]\) \(-43713001/116640\) \(-3965825435040\) \([]\) \(816480\) \(1.1049\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830dy1 has rank \(0\).

Complex multiplication

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

Modular form 424830.2.a.dy

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