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Properties

Label 479408o
Number of curves $1$
Conductor $479408$
CM no
Rank $0$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("o1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 479408o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 479408o do not have complex multiplication.

Modular form 479408.2.a.o

Copy content sage:E.q_eigenform(10)
 
\(q - q^{3} - q^{7} - 2 q^{9} + q^{11} + 4 q^{13} - 3 q^{17} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 479408o

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
479408.o1 479408o1 \([0, -1, 0, -1203, 20470]\) \(-256000/83\) \(-62476929968\) \([]\) \(221184\) \(0.78413\) \(\Gamma_0(N)\)-optimal