Properties

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

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

Elliptic curves in class 195.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
195.b1 195d1 \([0, -1, 1, -190, 1101]\) \(-762549907456/24024195\) \(-24024195\) \([]\) \(84\) \(0.19257\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 195.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 195.b do not have complex multiplication.

Modular form 195.2.a.b

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