Properties

Label 141.a
Number of curves 1
Conductor 141
CM no
Rank 1

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Show commands for: SageMath
sage: E = EllipticCurve("141.a1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 141.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
141.a1 141a1 [0, 1, 1, -12, 2] [] 28 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141.a1 has rank \(1\).

Modular form 141.2.a.a

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