Properties

Label 262080.dw
Number of curves $1$
Conductor $262080$
CM no
Rank $1$

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

Elliptic curves in class 262080.dw

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
262080.dw1 262080dw1 \([0, 0, 0, -842988, 312619088]\) \(-693346671296498/40610171875\) \(-3880362350592000000\) \([]\) \(5990400\) \(2.3229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 262080.dw1 has rank \(1\).

Complex multiplication

The elliptic curves in class 262080.dw do not have complex multiplication.

Modular form 262080.2.a.dw

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} - 5 q^{11} + q^{13} + 2 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display