Properties

Label 202800et
Number of curves $1$
Conductor $202800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("et1")
 
E.isogeny_class()
 

Elliptic curves in class 202800et

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202800.y1 202800et1 \([0, -1, 0, -123088, 17329792]\) \(-417267265/19773\) \(-9773106622156800\) \([]\) \(1548288\) \(1.8309\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202800et1 has rank \(2\).

Complex multiplication

The elliptic curves in class 202800et do not have complex multiplication.

Modular form 202800.2.a.et

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{7} + q^{9} - q^{11} - 5 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display