Properties

Label 195195bj
Number of curves $1$
Conductor $195195$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 195195bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
195195.s1 195195bj1 \([0, -1, 1, -372701, -30836518]\) \(200462500001480704/101509548958125\) \(2899214227793008125\) \([]\) \(3096576\) \(2.2351\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 195195bj1 has rank \(1\).

Complex multiplication

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

Modular form 195195.2.a.bj

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