Properties

Label 105966t
Number of curves $1$
Conductor $105966$
CM no
Rank $1$

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

Elliptic curves in class 105966t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105966.b1 105966t1 \([1, -1, 0, -411916491, 3341737445701]\) \(-21195308337309457/962072674304\) \(-350848311755383506758270976\) \([]\) \(73393200\) \(3.8577\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105966t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 105966t do not have complex multiplication.

Modular form 105966.2.a.t

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