Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("bd1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32340.bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.bd1 32340x1 \([0, 1, 0, -4916, -199116]\) \(-21380386384/15035625\) \(-9241737120000\) \([]\) \(80640\) \(1.1879\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.bd1 has rank \(1\).

Complex multiplication

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

Modular form 32340.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} - q^{11} + 6q^{13} - q^{15} - 3q^{17} - q^{19} + O(q^{20})\)  Toggle raw display