Properties

Label 28566.y
Number of curves $1$
Conductor $28566$
CM no
Rank $1$

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

Elliptic curves in class 28566.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28566.y1 28566z1 \([1, -1, 1, -881704766, 29791703861965]\) \(-2890629687594173619/12947848928690176\) \(-339545861552992625449613918208\) \([]\) \(37255680\) \(4.3513\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28566.y1 has rank \(1\).

Complex multiplication

The elliptic curves in class 28566.y do not have complex multiplication.

Modular form 28566.2.a.y

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