Properties

Label 195195.t
Number of curves $1$
Conductor $195195$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 195195.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
195195.t1 195195bg1 \([0, -1, 1, -225218075, 1330454340308]\) \(-261741945752892238495744/6936039686748046875\) \(-33478938784352653388671875\) \([]\) \(52496640\) \(3.6801\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 195195.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 195195.t do not have complex multiplication.

Modular form 195195.2.a.t

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