Properties

Label 259182.dl
Number of curves $1$
Conductor $259182$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("dl1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 259182.dl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
259182.dl1 259182dl1 \([1, -1, 1, 1066, -44481]\) \(103823/714\) \(-922108129866\) \([]\) \(457600\) \(0.97750\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 259182.dl1 has rank \(1\).

Complex multiplication

The elliptic curves in class 259182.dl do not have complex multiplication.

Modular form 259182.2.a.dl

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} - 3q^{5} - q^{7} + q^{8} - 3q^{10} - 3q^{13} - q^{14} + q^{16} + q^{17} + 6q^{19} + O(q^{20})\)  Toggle raw display