Properties

Label 8624.be
Number of curves $1$
Conductor $8624$
CM no
Rank $0$

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

Elliptic curves in class 8624.be

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8624.be1 8624bc1 \([0, 0, 0, -91, 266]\) \(415233/88\) \(17661952\) \([]\) \(3456\) \(0.10510\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8624.be1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8624.be do not have complex multiplication.

Modular form 8624.2.a.be

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} - 2 q^{5} + 6 q^{9} + q^{11} + 7 q^{13} - 6 q^{15} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display