Properties

Label 299538.y
Number of curves $1$
Conductor $299538$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 299538.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
299538.y1 299538y1 \([1, -1, 1, -103568384, 405662836771]\) \(329141032560513/45088768\) \(16830291946773930835968\) \([]\) \(58544640\) \(3.2827\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 299538.y1 has rank \(0\).

Complex multiplication

The elliptic curves in class 299538.y do not have complex multiplication.

Modular form 299538.2.a.y

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{4} + 2 q^{5} + q^{7} + q^{8} + 2 q^{10} + 6 q^{11} + 5 q^{13} + q^{14} + q^{16} + 3 q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display