Properties

Label 466578.o
Number of curves $1$
Conductor $466578$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 466578.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
466578.o1 466578o1 \([1, -1, 0, -430866, 343231636]\) \(-194975262337/1008189504\) \(-45741838082235817536\) \([]\) \(14155776\) \(2.4567\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 466578.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 466578.o do not have complex multiplication.

Modular form 466578.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - 3 q^{5} - q^{8} + 3 q^{10} + 4 q^{11} - 3 q^{13} + q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display