Properties

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

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Show commands: SageMath
E = EllipticCurve("dw1")
 
E.isogeny_class()
 

Elliptic curves in class 424830.dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
424830.dw1 424830dw1 \([1, 0, 1, -2401316468, 45296221160306]\) \(-2239996279676393/248832000\) \(-170110390979912754760704000\) \([]\) \(320785920\) \(4.0620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 424830.dw1 has rank \(1\).

Complex multiplication

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

Modular form 424830.2.a.dw

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