Properties

Label 48400cs
Number of curves $1$
Conductor $48400$
CM no
Rank $1$

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

Elliptic curves in class 48400cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
48400.b1 48400cs1 \([0, 0, 0, -4675, -266750]\) \(-1459161/3125\) \(-24200000000000\) \([]\) \(184320\) \(1.2570\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 48400cs1 has rank \(1\).

Complex multiplication

The elliptic curves in class 48400cs do not have complex multiplication.

Modular form 48400.2.a.cs

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 3 q^{7} + 6 q^{9} - 4 q^{13} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display