Properties

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

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Show commands: SageMath
E = EllipticCurve("dr1")
 
E.isogeny_class()
 

Elliptic curves in class 205350dr

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
205350.w1 205350dr1 \([1, 1, 0, -1610475200, 24849181344000]\) \(336675884385865/408146688\) \(560002678041369048300000000\) \([]\) \(166233600\) \(4.0429\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 205350dr1 has rank \(0\).

Complex multiplication

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

Modular form 205350.2.a.dr

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