Properties

Label 522l
Number of curves $1$
Conductor $522$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 522l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
522.k1 522l1 \([1, -1, 1, -11, -17]\) \(-185193/116\) \(-84564\) \([]\) \(56\) \(-0.35292\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 522l1 has rank \(0\).

Complex multiplication

The elliptic curves in class 522l do not have complex multiplication.

Modular form 522.2.a.l

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 3 q^{5} - 2 q^{7} + q^{8} + 3 q^{10} + q^{11} + 3 q^{13} - 2 q^{14} + q^{16} + 4 q^{17} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display