Properties

Label 455175.dj
Number of curves 1
Conductor 455175
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("455175.dj1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 455175.dj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
455175.dj1 455175dj1 [0, 0, 1, -309509332950, -66287159967293969] [] 2322432000 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 455175.dj1 has rank \(1\).

Modular form 455175.2.a.dj

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