Properties

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

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

Elliptic curves in class 36414.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36414.bo1 36414bj1 \([1, -1, 0, -5732658, 5415249492]\) \(-1184052061112257/34349180544\) \(-604418066580733743744\) \([]\) \(1935360\) \(2.7668\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36414.bo1 has rank \(1\).

Complex multiplication

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

Modular form 36414.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{5} + q^{7} - q^{8} - 3 q^{10} + q^{11} + q^{13} - q^{14} + q^{16} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display