Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 46090r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.m1 46090r1 \([1, 1, 1, -207793235, 1152822924087]\) \(992242729607885119605705413041/1851081415938906250\) \(1851081415938906250\) \([]\) \(5303760\) \(3.1888\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090r1 has rank \(1\).

Complex multiplication

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

Modular form 46090.2.a.r

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