Properties

Label 2541d
Number of curves $1$
Conductor $2541$
CM no
Rank $0$

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

Elliptic curves in class 2541d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2541.k1 2541d1 \([0, -1, 1, -180572, -26845765]\) \(25104437248/2470629\) \(64081753404544029\) \([]\) \(44352\) \(1.9618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2541d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2541d do not have complex multiplication.

Modular form 2541.2.a.d

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