Properties

Label 102850.a
Number of curves $1$
Conductor $102850$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 102850.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.a1 102850bz1 \([1, -1, 0, -125197, -17549339]\) \(-8099457597/295936\) \(-7929563725952000\) \([]\) \(1478400\) \(1.8221\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850.a1 has rank \(0\).

Complex multiplication

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

Modular form 102850.2.a.a

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