Properties

Label 248256cx
Number of curves $1$
Conductor $248256$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 248256cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248256.cx1 248256cx1 \([0, 0, 0, -36, 1728]\) \(-1728/431\) \(-1286959104\) \([]\) \(168448\) \(0.42720\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248256cx1 has rank \(0\).

Complex multiplication

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

Modular form 248256.2.a.cx

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