Properties

Label 19950bf
Number of curves $1$
Conductor $19950$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 19950bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19950.r1 19950bf1 \([1, 0, 1, 3174, -342452]\) \(9056932295/135136512\) \(-52787700000000\) \([]\) \(69120\) \(1.3138\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19950bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 19950bf do not have complex multiplication.

Modular form 19950.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{7} - q^{8} + q^{9} - 6 q^{11} + q^{12} - q^{13} + q^{14} + q^{16} - 2 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display