Properties

Label 450800p
Number of curves $1$
Conductor $450800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 450800p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.p1 450800p1 \([0, 1, 0, -408, 236788]\) \(-50/161\) \(-24245105920000\) \([]\) \(884736\) \(1.2472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800p1 has rank \(2\).

Complex multiplication

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

Modular form 450800.2.a.p

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} - 2 q^{11} - 5 q^{13} + 5 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display