Properties

Label 201810.o
Number of curves $1$
Conductor $201810$
CM no
Rank $1$

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

Elliptic curves in class 201810.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
201810.o1 201810cf1 \([1, 1, 0, -242672, 47645136]\) \(-1853070601/82320\) \(-70209990202143120\) \([]\) \(2232000\) \(1.9973\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 201810.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 201810.o do not have complex multiplication.

Modular form 201810.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} + q^{7} - q^{8} + q^{9} - q^{10} - 4 q^{11} - q^{12} - q^{13} - q^{14} - q^{15} + q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display