Properties

Label 53361.o
Number of curves $1$
Conductor $53361$
CM no
Rank $0$

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

Elliptic curves in class 53361.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53361.o1 53361bq1 \([1, -1, 1, 158971, -134845378]\) \(24167/441\) \(-8107665808844335041\) \([]\) \(1216512\) \(2.3087\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53361.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 53361.o do not have complex multiplication.

Modular form 53361.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{4} - 3 q^{5} + 3 q^{8} + 3 q^{10} - 7 q^{13} - q^{16} + 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display