Properties

Label 45080d
Number of curves $1$
Conductor $45080$
CM no
Rank $1$

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

Elliptic curves in class 45080d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
45080.s1 45080d1 \([0, 1, 0, 7824, 78665]\) \(28134973184/17609375\) \(-33147605750000\) \([]\) \(92160\) \(1.2834\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 45080d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 45080d do not have complex multiplication.

Modular form 45080.2.a.d

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} - 2 q^{9} - 2 q^{11} - 3 q^{13} - q^{15} + 6 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display