Properties

Label 8640.bb
Number of curves $1$
Conductor $8640$
CM no
Rank $0$

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

Elliptic curves in class 8640.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8640.bb1 8640bh1 \([0, 0, 0, -108, 918]\) \(-12288/25\) \(-283435200\) \([]\) \(2880\) \(0.31115\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8640.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8640.bb do not have complex multiplication.

Modular form 8640.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{5} + 3 q^{7} + 2 q^{11} + 5 q^{13} + 8 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display