Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 53361bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
53361.bl1 53361bl1 \([1, -1, 0, 1314, 100953]\) \(24167/441\) \(-4576565982681\) \([]\) \(110592\) \(1.1098\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 53361bl1 has rank \(0\).

Complex multiplication

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

Modular form 53361.2.a.bl

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