Properties

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

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

Elliptic curves in class 248256cs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248256.cs1 248256cs1 \([0, 0, 0, -36, -1728]\) \(-1728/431\) \(-1286959104\) \([]\) \(168448\) \(0.42720\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

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

Complex multiplication

The elliptic curves in class 248256cs do not have complex multiplication.

Modular form 248256.2.a.cs

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