Properties

Label 102850.f
Number of curves $1$
Conductor $102850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 102850.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.f1 102850y1 \([1, 0, 1, 5079, -383572]\) \(327254135/1627648\) \(-72086942963200\) \([]\) \(466560\) \(1.3413\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.f1 has rank \(1\).

Complex multiplication

The elliptic curves in class 102850.f do not have complex multiplication.

Modular form 102850.2.a.f

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