Properties

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

Related objects

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

sage: E.isogeny_class()

Elliptic curves in class 140b

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 140b1 has rank $$0$$.

Complex multiplication

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

Modular form140.2.a.b

sage: E.q_eigenform(10)

$$q + 3q^{3} - q^{5} - q^{7} + 6q^{9} - 5q^{11} - 3q^{13} - 3q^{15} - q^{17} + 6q^{19} + O(q^{20})$$