Properties

Label 195d
Number of curves $1$
Conductor $195$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("195.b1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 195d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients Torsion structure Modular degree Optimality
195.b1 195d1 [0, -1, 1, -190, 1101] [] 84 \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 195d1 has rank \(0\).

Modular form 195.2.a.b

sage: E.q_eigenform(10)
 
\( q + 2q^{2} - q^{3} + 2q^{4} + q^{5} - 2q^{6} + 3q^{7} + q^{9} + 2q^{10} - q^{11} - 2q^{12} - q^{13} + 6q^{14} - q^{15} - 4q^{16} - q^{17} + 2q^{18} - 2q^{19} + O(q^{20}) \)