Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 2550.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2550.p1 2550q1 \([1, 0, 1, -76, -952]\) \(-121945/918\) \(-358593750\) \([]\) \(1800\) \(0.32448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2550.p1 has rank \(0\).

Complex multiplication

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

Modular form 2550.2.a.p

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