Properties

Label 199920dq
Number of curves $1$
Conductor $199920$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("dq1")
 
E.isogeny_class()
 

Elliptic curves in class 199920dq

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
199920.bm1 199920dq1 \([0, -1, 0, -27701, 2632701]\) \(-4878401536/3346875\) \(-1612826611200000\) \([]\) \(829440\) \(1.6184\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 199920dq1 has rank \(1\).

Complex multiplication

The elliptic curves in class 199920dq do not have complex multiplication.

Modular form 199920.2.a.dq

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} + q^{9} + 2 q^{11} - 3 q^{13} + q^{15} - q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display