Properties

Label 141.e
Number of curves $1$
Conductor $141$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 141.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
141.e1 141e1 \([0, 1, 1, -26, -61]\) \(2019487744/141\) \(141\) \([]\) \(12\) \(-0.53443\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 141.e1 has rank \(0\).

Complex multiplication

The elliptic curves in class 141.e do not have complex multiplication.

Modular form 141.2.a.e

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