Properties

Label 206910.t
Number of curves $1$
Conductor $206910$
CM no
Rank $0$

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

Elliptic curves in class 206910.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
206910.t1 206910ek1 \([1, -1, 0, -51750, 26201236]\) \(-11867954041/222543200\) \(-287407414518760800\) \([]\) \(2304000\) \(2.0310\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 206910.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 206910.t do not have complex multiplication.

Modular form 206910.2.a.t

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