Properties

Label 189618.t
Number of curves $1$
Conductor $189618$
CM no
Rank $0$

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

Elliptic curves in class 189618.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.t1 189618bd1 \([1, 0, 1, -8906135, 10918577594]\) \(-95773342660124233/7719031406592\) \(-6296651054720936312832\) \([]\) \(18869760\) \(2.9293\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 189618.t do not have complex multiplication.

Modular form 189618.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 2q^{5} - q^{6} + 2q^{7} - q^{8} + q^{9} - 2q^{10} + q^{11} + q^{12} - 2q^{14} + 2q^{15} + q^{16} + q^{17} - q^{18} + 8q^{19} + O(q^{20})\)  Toggle raw display