Properties

Label 284592.bb
Number of curves $1$
Conductor $284592$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 284592.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
284592.bb1 284592bb1 \([0, -1, 0, -313672, 68205271]\) \(-263757056/2187\) \(-28300691821990896\) \([]\) \(3311616\) \(1.9833\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 284592.bb1 has rank \(2\).

Complex multiplication

The elliptic curves in class 284592.bb do not have complex multiplication.

Modular form 284592.2.a.bb

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