Properties

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

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Show commands: SageMath
E = EllipticCurve("ba1")
 
E.isogeny_class()
 

Elliptic curves in class 2550.ba

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2550.ba1 2550bb1 \([1, 0, 0, -43, -103]\) \(352224985/33048\) \(826200\) \([]\) \(720\) \(-0.12630\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2550.ba1 has rank \(1\).

Complex multiplication

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

Modular form 2550.2.a.ba

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + q^{6} - 5 q^{7} + q^{8} + q^{9} - q^{11} + q^{12} + 2 q^{13} - 5 q^{14} + q^{16} - q^{17} + q^{18} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display