Properties

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

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

Elliptic curves in class 66654.ba

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 66654.ba1 has rank \(0\).

Complex multiplication

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

Modular form 66654.2.a.ba

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3q^{5} + q^{7} - q^{8} - 3q^{10} + 4q^{11} - 3q^{13} - q^{14} + q^{16} - 4q^{17} + O(q^{20})\)  Toggle raw display