Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 200400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
200400.a1 200400x1 \([0, -1, 0, -25543458, -28356712713]\) \(58981087897955969792/23009975574323229\) \(719061736697600906250000\) \([]\) \(36537600\) \(3.2764\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 200400.a1 has rank \(0\).

Complex multiplication

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

Modular form 200400.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{3} - 4 q^{7} + q^{9} - 6 q^{11} - 5 q^{13} + 4 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display