Properties

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

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 8640.bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8640.bm1 8640m1 \([0, 0, 0, 1188, -32616]\) \(1022208/3125\) \(-566870400000\) \([]\) \(11520\) \(0.93859\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8640.bm1 has rank \(0\).

Complex multiplication

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

Modular form 8640.2.a.bm

sage: E.q_eigenform(10)
 
\(q + q^{5} - 2 q^{7} + 6 q^{13} + 7 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display