Properties

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

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 450800.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.a1 450800a1 \([0, 0, 0, 153125, -170213750]\) \(2109375/67712\) \(-12745998540800000000\) \([]\) \(17418240\) \(2.3460\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800.a1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} + 6 q^{9} - 3 q^{11} - 6 q^{13} + 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display