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Properties

Label 471024.q
Number of curves $1$
Conductor $471024$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("q1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 471024.q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 471024.q do not have complex multiplication.

Modular form 471024.2.a.q

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

Elliptic curves in class 471024.q

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
471024.q1 471024q1 \([0, 0, 0, 9, 297]\) \(6912/3271\) \(-38152944\) \([]\) \(86016\) \(0.13384\) \(\Gamma_0(N)\)-optimal