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Properties

Label 404928.j
Number of curves $1$
Conductor $404928$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("j1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 404928.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 404928.j do not have complex multiplication.

Modular form 404928.2.a.j

Copy content sage:E.q_eigenform(10)
 
\(q - 3 q^{5} - 4 q^{7} + 3 q^{11} + 4 q^{13} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 404928.j

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
404928.j1 404928j1 \([0, 0, 0, -3719244, -2760769136]\) \(59545681581839906/4612383\) \(440720058875904\) \([]\) \(6881280\) \(2.2573\) \(\Gamma_0(N)\)-optimal