Properties

Label 301665.x
Number of curves 1
Conductor 301665
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("301665.x1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 301665.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
301665.x1 301665x1 [0, -1, 1, -804414875, 8783188158383] [] 86184000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 301665.x1 has rank \(1\).

Modular form 301665.2.a.x

sage: E.q_eigenform(10)
 
\( q - q^{3} - 2q^{4} + q^{5} - q^{7} + q^{9} - 2q^{11} + 2q^{12} - q^{15} + 4q^{16} + q^{17} - 2q^{19} + O(q^{20}) \)