Properties

Label 161700.o
Number of curves $1$
Conductor $161700$
CM no
Rank $1$

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

Elliptic curves in class 161700.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
161700.o1 161700dy1 \([0, -1, 0, 16742, 269137]\) \(17643776/11319\) \(-332917257750000\) \([]\) \(483840\) \(1.4755\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 161700.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 161700.o do not have complex multiplication.

Modular form 161700.2.a.o

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