Properties

Label 56144.u
Number of curves $1$
Conductor $56144$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 56144.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56144.u1 56144w1 \([0, 0, 0, -2299, 61226]\) \(-185193/116\) \(-841732407296\) \([]\) \(137280\) \(0.98987\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56144.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56144.u do not have complex multiplication.

Modular form 56144.2.a.u

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 3 q^{5} - 2 q^{7} + 6 q^{9} - 3 q^{13} - 9 q^{15} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display