Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 205350.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
205350.n1 205350dn1 \([1, 1, 0, -59227075, -175395117875]\) \(3349197413/1536\) \(10537438361763000000000\) \([]\) \(28771200\) \(3.1827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 205350.n1 has rank \(0\).

Complex multiplication

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

Modular form 205350.2.a.n

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