Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 53361.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53361.t1 53361br1 \([1, -1, 1, 21757, 1408124]\) \(17999471/24057\) \(-1522373401581417\) \([]\) \(322560\) \(1.5991\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53361.t1 has rank \(0\).

Complex multiplication

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

Modular form 53361.2.a.t

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