Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 102850bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
102850.bi1 102850bl1 \([1, 0, 1, 18994, 77380708]\) \(28284883/96550276\) \(-2587051140450144500\) \([]\) \(1647360\) \(2.2120\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 102850bl1 has rank \(1\).

Complex multiplication

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

Modular form 102850.2.a.bl

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