Properties

Label 450800d
Number of curves $1$
Conductor $450800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 450800d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.d1 450800d1 \([0, 0, 0, -89425, 105172375]\) \(-2688885504/160908575\) \(-4732683235043750000\) \([]\) \(12441600\) \(2.2633\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800d1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.d

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