Properties

Label 200400.y
Number of curves $1$
Conductor $200400$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 200400.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.y1 200400de1 \([0, -1, 0, -1783, -33938]\) \(-2508888064/608715\) \(-152178750000\) \([]\) \(202752\) \(0.86419\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 200400.y do not have complex multiplication.

Modular form 200400.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{7} + q^{9} + 3 q^{11} - q^{13} - 7 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display