Properties

Label 200400y
Number of curves $1$
Conductor $200400$
CM no
Rank $2$

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

Elliptic curves in class 200400y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.b1 200400y1 \([0, -1, 0, -4848, 902592]\) \(-24616775429/670674672\) \(-343385432064000\) \([]\) \(1124352\) \(1.4697\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400y1 has rank \(2\).

Complex multiplication

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

Modular form 200400.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - 5 q^{11} - 3 q^{13} + 7 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display