Properties

Label 186200ed
Number of curves $1$
Conductor $186200$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ed1")
 
E.isogeny_class()
 

Elliptic curves in class 186200ed

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
186200.dr1 186200ed1 \([0, -1, 0, -11433, -1107763]\) \(-7168/19\) \(-438124876000000\) \([]\) \(516096\) \(1.4970\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 186200ed1 has rank \(0\).

Complex multiplication

The elliptic curves in class 186200ed do not have complex multiplication.

Modular form 186200.2.a.ed

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} + q^{9} - q^{11} + 4 q^{13} - q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display