Properties

Label 450800q
Number of curves $1$
Conductor $450800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 450800q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.q1 450800q1 \([0, 1, 0, -20008, -34710012]\) \(-196/115\) \(-519754458160000000\) \([]\) \(4322304\) \(2.0784\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800q1 has rank \(0\).

Complex multiplication

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

Modular form 450800.2.a.q

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