Properties

Label 4800.cs
Number of curves $1$
Conductor $4800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cs1")
 
E.isogeny_class()
 

Elliptic curves in class 4800.cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4800.cs1 4800ct1 \([0, 1, 0, -933, -13437]\) \(-8780800/2187\) \(-22394880000\) \([]\) \(5376\) \(0.70395\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4800.cs1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4800.cs do not have complex multiplication.

Modular form 4800.2.a.cs

sage: E.q_eigenform(10)
 
\(q + q^{3} + 5 q^{7} + q^{9} - 6 q^{11} + 3 q^{13} - 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display