Properties

Label 24563.d
Number of curves $1$
Conductor $24563$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 24563.d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24563.d1 24563h1 \([0, -1, 1, -29, 384]\) \(-23068672/487403\) \(-58975763\) \([]\) \(4800\) \(0.17192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24563.d1 has rank \(2\).

Complex multiplication

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

Modular form 24563.2.a.d

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