Properties

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

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Show commands: SageMath
E = EllipticCurve("y1")
 
E.isogeny_class()
 

Elliptic curves in class 102850.y

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.y1 102850a1 \([1, -1, 0, -1629227, 800855941]\) \(-8113242988755/278528\) \(-16418861361971200\) \([]\) \(1374912\) \(2.2027\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.y1 has rank \(1\).

Complex multiplication

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

Modular form 102850.2.a.y

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