Properties

Label 2550.bd
Number of curves $1$
Conductor $2550$
CM no
Rank $0$

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

Elliptic curves in class 2550.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2550.bd1 2550bc1 \([1, 0, 0, 612, -10608]\) \(2595575/6528\) \(-63750000000\) \([]\) \(2520\) \(0.75699\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2550.bd1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2550.bd do not have complex multiplication.

Modular form 2550.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} + q^{8} + q^{9} + 6 q^{11} + q^{12} - 2 q^{13} + q^{16} + q^{17} + q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display