Properties

Label 140.b
Number of curves $1$
Conductor $140$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 140.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
140.b1 140b1 [0, 0, 0, 32, 212] [] 60 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 140.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 140.b do not have complex multiplication.

Modular form 140.2.a.b

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