Properties

Label 200400df
Number of curves $1$
Conductor $200400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("df1")
 
E.isogeny_class()
 

Elliptic curves in class 200400df

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.bf1 200400df1 \([0, -1, 0, -4008, -4113]\) \(28488868096/16435305\) \(4108826250000\) \([]\) \(359424\) \(1.1099\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400df1 has rank \(0\).

Complex multiplication

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

Modular form 200400.2.a.df

sage: E.q_eigenform(10)
 
\(q - q^{3} + 4 q^{7} + q^{9} - 7 q^{13} + 2 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display