Properties

Label 308550n
Number of curves $1$
Conductor $308550$
CM no
Rank $1$

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

Elliptic curves in class 308550n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
308550.n1 308550n1 \([1, 1, 0, -3601325, -2488384125]\) \(61689227545/3792258\) \(317540695837225781250\) \([]\) \(16220160\) \(2.6858\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 308550n1 has rank \(1\).

Complex multiplication

The elliptic curves in class 308550n do not have complex multiplication.

Modular form 308550.2.a.n

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