Properties

Label 285912.bb
Number of curves $1$
Conductor $285912$
CM no
Rank $1$

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

Elliptic curves in class 285912.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
285912.bb1 285912bb1 \([0, 0, 0, -8607, -277837]\) \(16746513664/1771561\) \(7459518988944\) \([]\) \(466560\) \(1.2047\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 285912.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 285912.bb do not have complex multiplication.

Modular form 285912.2.a.bb

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