Properties

Label 388416dy
Number of curves $1$
Conductor $388416$
CM no
Rank $0$

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

Elliptic curves in class 388416dy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388416.dy1 388416dy1 \([0, -1, 0, 18111, -1131039]\) \(30004847/42336\) \(-926926780760064\) \([]\) \(1658880\) \(1.5575\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388416dy1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388416dy do not have complex multiplication.

Modular form 388416.2.a.dy

sage: E.q_eigenform(10)
 
\(q - q^{3} + 3 q^{5} + q^{7} + q^{9} + q^{11} - 4 q^{13} - 3 q^{15} + O(q^{20})\) Copy content Toggle raw display