Properties

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

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Show commands: SageMath
sage: E = EllipticCurve("be1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 32340.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
32340.be1 32340bh1 \([0, 1, 0, 301579, 2089287255]\) \(100715742101504/62663434246875\) \(-1887306336181912800000\) \([]\) \(1451520\) \(2.7615\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 32340.be1 has rank \(1\).

Complex multiplication

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

Modular form 32340.2.a.be

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + q^{9} + q^{11} - 4q^{13} - q^{15} + 5q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display