Properties

Label 450800.eu
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("eu1")
 
E.isogeny_class()
 

Elliptic curves in class 450800.eu

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.eu1 450800eu1 \([0, 1, 0, 195592, -9441937]\) \(28134973184/17609375\) \(-517931339843750000\) \([]\) \(4423680\) \(2.0881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.eu1 has rank \(1\).

Complex multiplication

The elliptic curves in class 450800.eu do not have complex multiplication.

Modular form 450800.2.a.eu

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{9} + 2 q^{11} + 3 q^{13} - 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display