Properties

Label 24882n
Number of curves $1$
Conductor $24882$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 24882n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
24882.l1 24882n1 \([1, 0, 1, 17625, 188842]\) \(605545121746614167/365598212069376\) \(-365598212069376\) \([]\) \(118272\) \(1.4836\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 24882n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 24882n do not have complex multiplication.

Modular form 24882.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - 3 q^{5} - q^{6} + 3 q^{7} - q^{8} + q^{9} + 3 q^{10} - q^{11} + q^{12} - q^{13} - 3 q^{14} - 3 q^{15} + q^{16} - 3 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display