Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 66654.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.q1 66654g1 \([1, -1, 0, -99, -239]\) \(279841/84\) \(32393844\) \([]\) \(15360\) \(0.14643\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66654.q1 has rank \(1\).

Complex multiplication

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

Modular form 66654.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{7} - q^{8} - q^{10} - 4 q^{11} + 4 q^{13} + q^{14} + q^{16} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display