Properties

Label 382200dy
Number of curves $1$
Conductor $382200$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("dy1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 382200dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
382200.dy1 382200dy1 \([0, -1, 0, 41592, 286812]\) \(10149078716/5923125\) \(-4643730000000000\) \([]\) \(1548288\) \(1.6956\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 382200dy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 382200dy do not have complex multiplication.

Modular form 382200.2.a.dy

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