Properties

Label 338130.w
Number of curves $1$
Conductor $338130$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("w1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 338130.w

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
338130.w1 338130w1 [1, -1, 0, -10305, -401459] [] 587520 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338130.w1 has rank \(0\).

Complex multiplication

The elliptic curves in class 338130.w do not have complex multiplication.

Modular form 338130.2.a.w

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + 3q^{7} - q^{8} + q^{10} + 2q^{11} - q^{13} - 3q^{14} + q^{16} - 2q^{19} + O(q^{20})\)  Toggle raw display