Properties

Label 24563i
Number of curves $1$
Conductor $24563$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 24563i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24563.i1 24563i1 \([0, -1, 1, -4880, -169863]\) \(-495616/203\) \(-5265297194003\) \([]\) \(86592\) \(1.1494\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24563i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 24563i do not have complex multiplication.

Modular form 24563.2.a.i

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} - q^{3} + 2 q^{4} - 4 q^{5} - 2 q^{6} + q^{7} - 2 q^{9} - 8 q^{10} - 2 q^{12} - 2 q^{13} + 2 q^{14} + 4 q^{15} - 4 q^{16} + 5 q^{17} - 4 q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display