Properties

Label 205350ee
Number of curves $1$
Conductor $205350$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ee1")
 
E.isogeny_class()
 

Elliptic curves in class 205350ee

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
205350.q1 205350ee1 \([1, 1, 0, 29350, -3652500]\) \(3532642667/9375000\) \(-7419873046875000\) \([]\) \(1492992\) \(1.7289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 205350ee1 has rank \(0\).

Complex multiplication

The elliptic curves in class 205350ee do not have complex multiplication.

Modular form 205350.2.a.ee

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + q^{7} - q^{8} + q^{9} + q^{11} - q^{12} - q^{13} - q^{14} + q^{16} - 5 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display