Properties

Label 36414bo
Number of curves $1$
Conductor $36414$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("bo1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 36414bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36414.f1 36414bo1 \([1, -1, 0, 4715559, -1685570387]\) \(2280364702703/1560674304\) \(-7936539448657906630656\) \([]\) \(3329280\) \(2.8908\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36414bo1 has rank \(0\).

Complex multiplication

The elliptic curves in class 36414bo do not have complex multiplication.

Modular form 36414.2.a.bo

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