Properties

Label 2541.l
Number of curves $1$
Conductor $2541$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 2541.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2541.l1 2541h1 \([0, -1, 1, -84740, 9490535]\) \(313944395776/1240029\) \(265811228847549\) \([]\) \(23232\) \(1.6250\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2541.l1 has rank \(1\).

Complex multiplication

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

Modular form 2541.2.a.l

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