Properties

Label 43350y
Number of curves $1$
Conductor $43350$
CM no
Rank $1$

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

Elliptic curves in class 43350y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
43350.s1 43350y1 \([1, 1, 0, -289150, -58921100]\) \(613231225/12288\) \(53573817146880000\) \([]\) \(616896\) \(2.0014\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 43350y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 43350y do not have complex multiplication.

Modular form 43350.2.a.y

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} + 2 q^{7} - q^{8} + q^{9} - 4 q^{11} - q^{12} - 5 q^{13} - 2 q^{14} + q^{16} - q^{18} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display