Properties

Label 84966dg
Number of curves $1$
Conductor $84966$
CM no
Rank $1$

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Show commands for: SageMath
sage: E = EllipticCurve("dg1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 84966dg

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84966.de1 84966dg1 \([1, 1, 1, 88836, -4318371]\) \(2280364702703/1560674304\) \(-53063801874284544\) \([]\) \(1175040\) \(1.8978\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84966dg1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84966dg do not have complex multiplication.

Modular form 84966.2.a.dg

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3q^{5} - q^{6} + q^{8} + q^{9} + 3q^{10} - 5q^{11} - q^{12} - 3q^{15} + q^{16} + q^{18} - 6q^{19} + O(q^{20})\)  Toggle raw display