Properties

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

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 24563b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24563.c1 24563b1 \([0, -1, 1, -3549, -497289]\) \(-23068672/487403\) \(-104479161676043\) \([]\) \(52800\) \(1.3709\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24563b1 has rank \(0\).

Complex multiplication

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

Modular form 24563.2.a.b

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