Properties

 Label 66654ba Number of curves $1$ Conductor $66654$ CM no Rank $0$

Related objects

Show commands for: SageMath
sage: E = EllipticCurve("ba1")

sage: E.isogeny_class()

Elliptic curves in class 66654ba

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.ba1 66654ba1 $$[1, -1, 0, 43305957, 73599499557]$$ $$83228502970940543/69854999176704$$ $$-7538623193174663008065024$$ $$[]$$ $$16727040$$ $$3.4612$$ $$\Gamma_0(N)$$-optimal

Rank

sage: E.rank()

The elliptic curve 66654ba1 has rank $$0$$.

Complex multiplication

The elliptic curves in class 66654ba do not have complex multiplication.

Modular form 66654.2.a.ba

sage: E.q_eigenform(10)

$$q - q^{2} + q^{4} + 3q^{5} + q^{7} - q^{8} - 3q^{10} + 4q^{11} - 3q^{13} - q^{14} + q^{16} - 4q^{17} + O(q^{20})$$