Properties

Label 189618.bi
Number of curves $1$
Conductor $189618$
CM no
Rank $2$

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Show commands: SageMath
sage: E = EllipticCurve("bi1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 189618.bi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
189618.bi1 189618a1 \([1, 0, 0, 900, 243216]\) \(477017570471/151393093632\) \(-25585432823808\) \([]\) \(1013760\) \(1.2519\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 189618.bi1 has rank \(2\).

Complex multiplication

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

Modular form 189618.2.a.bi

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