Properties

Label 102850bj
Number of curves $1$
Conductor $102850$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 102850bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.bc1 102850bj1 \([1, -1, 0, -251642, -47623284]\) \(108709425/2312\) \(37479578548445000\) \([]\) \(760320\) \(1.9694\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850bj1 has rank \(1\).

Complex multiplication

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

Modular form 102850.2.a.bj

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