Properties

Label 2541.c
Number of curves 1
Conductor 2541
CM no
Rank 2

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Show commands for: SageMath
sage: E = EllipticCurve("2541.c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 2541.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
2541.c1 2541c1 [1, 1, 1, 3, 12] [] 288 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2541.c1 has rank \(2\).

Modular form 2541.2.a.c

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