Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 450800ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.ba1 450800ba1 \([0, 1, 0, -14373, 660883]\) \(-5451776/23\) \(-1385434624000\) \([]\) \(846720\) \(1.1844\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800ba1 has rank \(0\).

Complex multiplication

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

Modular form 450800.2.a.ba

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{9} + 2 q^{13} - 5 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display