Properties

Label 56355.u
Number of curves $1$
Conductor $56355$
CM no
Rank $0$

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

Elliptic curves in class 56355.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56355.u1 56355d1 \([0, -1, 1, -96, -3289]\) \(-4096/195\) \(-4706825955\) \([]\) \(57408\) \(0.53602\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56355.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56355.u do not have complex multiplication.

Modular form 56355.2.a.u

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - q^{5} - 2 q^{6} + 3 q^{7} + q^{9} - 2 q^{10} + 5 q^{11} - 2 q^{12} + q^{13} + 6 q^{14} + q^{15} - 4 q^{16} + 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display