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Properties

Label 459186l
Number of curves $1$
Conductor $459186$
CM no
Rank $1$

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Show commands: SageMath
Copy content sage:E = EllipticCurve("l1") E.isogeny_class()
 

Rank

Copy content sage:E.rank()
 

The elliptic curve 459186l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 459186l do not have complex multiplication.

Modular form 459186.2.a.l

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

Elliptic curves in class 459186l

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
459186.l1 459186l1 \([1, 1, 0, -638750450, 6213616094484]\) \(-1986714170298828125/95709545568\) \(-1388472348839061883898592\) \([]\) \(136416000\) \(3.7055\) \(\Gamma_0(N)\)-optimal