Properties

Label 105966d
Number of curves $1$
Conductor $105966$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 105966d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
105966.ba1 105966d1 \([1, -1, 0, 13719, 6516817]\) \(21141/1372\) \(-18531128121727284\) \([]\) \(751680\) \(1.8011\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 105966d1 has rank \(0\).

Complex multiplication

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

Modular form 105966.2.a.d

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