Properties

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

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Show commands: SageMath
E = EllipticCurve("bj1")
 
E.isogeny_class()
 

Elliptic curves in class 36414.bj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
36414.bj1 36414bc1 \([1, -1, 0, 2547, -59963]\) \(30004847/42336\) \(-2577703945824\) \([]\) \(69120\) \(1.0671\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 36414.bj1 has rank \(1\).

Complex multiplication

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

Modular form 36414.2.a.bj

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