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Properties

Label 478800.s
Number of curves $1$
Conductor $478800$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("s1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 478800.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 478800.s do not have complex multiplication.

Modular form 478800.2.a.s

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

Elliptic curves in class 478800.s

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
478800.s1 478800s1 \([0, 0, 0, 1185, -46870]\) \(39443120/226233\) \(-1055512684800\) \([]\) \(552960\) \(0.98907\) \(\Gamma_0(N)\)-optimal