Properties

Label 46090m
Number of curves $1$
Conductor $46090$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 46090m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
46090.s1 46090m1 \([1, 0, 0, -550, -4118]\) \(18401834959201/3485556250\) \(3485556250\) \([]\) \(27120\) \(0.54861\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 46090m1 has rank \(0\).

Complex multiplication

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

Modular form 46090.2.a.m

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