Properties

Label 32340.bm
Number of curves $1$
Conductor $32340$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("bm1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32340.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.bm1 32340bk1 \([0, 1, 0, -281325, -57541905]\) \(-81756451446784/24958395\) \(-751700534618880\) \([]\) \(207360\) \(1.8316\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.bm1 has rank \(1\).

Complex multiplication

The elliptic curves in class 32340.bm do not have complex multiplication.

Modular form 32340.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{9} - q^{11} - 2q^{13} + q^{15} + 7q^{17} - 3q^{19} + O(q^{20})\)  Toggle raw display