Properties

Label 59290.dw
Number of curves $1$
Conductor $59290$
CM no
Rank $0$

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

Elliptic curves in class 59290.dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.dw1 59290cw1 \([1, 0, 0, -14946, 2271380]\) \(-14641/80\) \(-2017528639261520\) \([]\) \(348480\) \(1.6208\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.dw1 has rank \(0\).

Complex multiplication

The elliptic curves in class 59290.dw do not have complex multiplication.

Modular form 59290.2.a.dw

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} - q^{5} + q^{6} + q^{8} - 2 q^{9} - q^{10} + q^{12} - q^{15} + q^{16} - 8 q^{17} - 2 q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display