Properties

Label 46090k
Number of curves $1$
Conductor $46090$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 46090k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.f1 46090k1 \([1, -1, 1, -2928, 4882131]\) \(-2775222881255889/10292115695206400\) \(-10292115695206400\) \([]\) \(718848\) \(1.7515\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 46090k do not have complex multiplication.

Modular form 46090.2.a.k

sage: E.q_eigenform(10)
 
\(q + q^{2} - 3 q^{3} + q^{4} - q^{5} - 3 q^{6} - 3 q^{7} + q^{8} + 6 q^{9} - q^{10} + q^{11} - 3 q^{12} + q^{13} - 3 q^{14} + 3 q^{15} + q^{16} + 6 q^{17} + 6 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display