Properties

Label 66654.t
Number of curves $1$
Conductor $66654$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 66654.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
66654.t1 66654r1 \([1, -1, 0, -10449, -252963]\) \(327181002241/116169984\) \(44799908799744\) \([]\) \(184320\) \(1.3205\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 66654.t1 has rank \(2\).

Complex multiplication

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

Modular form 66654.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} + q^{7} - q^{8} - q^{10} - 2 q^{11} - 4 q^{13} - q^{14} + q^{16} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display