Properties

Label 5610.bd
Number of curves $1$
Conductor $5610$
CM no
Rank $0$

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

Elliptic curves in class 5610.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5610.bd1 5610bc1 \([1, 1, 1, -165, -885]\) \(-496981290961/89760\) \(-89760\) \([]\) \(1200\) \(-0.045902\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5610.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5610.bd do not have complex multiplication.

Modular form 5610.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + q^{5} - q^{6} + 3 q^{7} + q^{8} + q^{9} + q^{10} - q^{11} - q^{12} + 3 q^{14} - q^{15} + q^{16} + q^{17} + q^{18} - 8 q^{19} + O(q^{20})\) Copy content Toggle raw display