Properties

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

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 53361.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53361.v1 53361l1 \([0, 0, 1, -5082, -314449]\) \(-6193152/14641\) \(-34315212747123\) \([]\) \(161280\) \(1.2855\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53361.v1 has rank \(1\).

Complex multiplication

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

Modular form 53361.2.a.v

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