Properties

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

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 59290.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59290.d1 59290ci1 \([1, -1, 0, 3452531, -2453886275]\) \(4348377/5000\) \(-5233343194704429035000\) \([]\) \(5677056\) \(2.8538\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59290.d1 has rank \(0\).

Complex multiplication

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

Modular form 59290.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} - q^{8} + 6 q^{9} - q^{10} - 3 q^{12} + q^{13} - 3 q^{15} + q^{16} - 2 q^{17} - 6 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display