Properties

Label 202160.o
Number of curves $1$
Conductor $202160$
CM no
Rank $1$

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

Elliptic curves in class 202160.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
202160.o1 202160c1 \([0, 1, 0, -404440, 397504788]\) \(-37966934881/332500000\) \(-64072726251520000000\) \([]\) \(4838400\) \(2.4831\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 202160.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 202160.o do not have complex multiplication.

Modular form 202160.2.a.o

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} + q^{5} + q^{7} + q^{9} - q^{11} + 3 q^{13} - 2 q^{15} - 7 q^{17} + O(q^{20})\) Copy content Toggle raw display