Properties

Label 105966.q
Number of curves $1$
Conductor $105966$
CM no
Rank $1$

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

Elliptic curves in class 105966.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105966.q1 105966a1 \([1, -1, 0, -80411952, 277567888640]\) \(-3580418379458257875/83441483776\) \(-1340089393197814382592\) \([]\) \(9273600\) \(3.1663\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105966.q1 has rank \(1\).

Complex multiplication

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

Modular form 105966.2.a.q

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