Properties

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

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Show commands: SageMath
E = EllipticCurve("bc1")
 
E.isogeny_class()
 

Elliptic curves in class 450800bc

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450800.bc1 450800bc1 \([0, 1, 0, 32667, 2434963]\) \(9834496/12167\) \(-4769464000000000\) \([]\) \(2246400\) \(1.6945\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450800bc1 has rank \(1\).

Complex multiplication

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

Modular form 450800.2.a.bc

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