Properties

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

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 28566.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
28566.bd1 28566u1 \([1, -1, 1, -472232, -222539183]\) \(-1587/2\) \(-14677164363928558806\) \([]\) \(556416\) \(2.3710\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 28566.bd1 has rank \(1\).

Complex multiplication

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

Modular form 28566.2.a.bd

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