Properties

Label 102550.s
Number of curves $1$
Conductor $102550$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 102550.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102550.s1 102550bd1 \([1, 1, 1, -263, 7281]\) \(-5151505/57428\) \(-22432812500\) \([]\) \(66240\) \(0.66815\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102550.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102550.s do not have complex multiplication.

Modular form 102550.2.a.s

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