Properties

Label 470925.j
Number of curves $1$
Conductor $470925$
CM no
Rank $1$

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

Elliptic curves in class 470925.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
470925.j1 470925j1 \([0, 0, 1, -344475, 109052156]\) \(-396870925750272/221358574619\) \(-2521412514019546875\) \([]\) \(11249280\) \(2.2343\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 470925.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 470925.j do not have complex multiplication.

Modular form 470925.2.a.j

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{7} - 3 q^{11} + q^{13} - 2 q^{14} - 4 q^{16} + 4 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display