Properties

Label 248256cs
Number of curves 1
Conductor 248256
CM no
Rank 1

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Show commands for: SageMath

sage: E = EllipticCurve("248256.cs1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 248256cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
248256.cs1 248256cs1 [0, 0, 0, -36, -1728] [] 168448 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248256cs1 has rank \(1\).

Modular form 248256.2.a.cs

sage: E.q_eigenform(10)
 
\( q + 3q^{5} - 4q^{7} + 5q^{11} - 4q^{13} + 6q^{17} - 7q^{19} + O(q^{20}) \)