Properties

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

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Show commands: SageMath
E = EllipticCurve("bp1")
 
E.isogeny_class()
 

Elliptic curves in class 36414.bp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36414.bp1 36414bp1 \([1, -1, 0, -3110850, 2112645348]\) \(654699641761/112\) \(569556643542768\) \([]\) \(1028160\) \(2.2299\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36414.bp1 has rank \(0\).

Complex multiplication

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

Modular form 36414.2.a.bp

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