Properties

Label 25050.n
Number of curves $1$
Conductor $25050$
CM no
Rank $0$

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

Elliptic curves in class 25050.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
25050.n1 25050t1 \([1, 1, 1, -3098, 65081]\) \(-26306719916021/730458\) \(-91307250\) \([]\) \(20160\) \(0.63027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 25050.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 25050.n do not have complex multiplication.

Modular form 25050.2.a.n

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