Properties

Label 9680.bf
Number of curves $1$
Conductor $9680$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 9680.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
9680.bf1 9680be1 \([0, 0, 0, -187, -2134]\) \(-1459161/3125\) \(-1548800000\) \([]\) \(7680\) \(0.45231\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 9680.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 9680.bf do not have complex multiplication.

Modular form 9680.2.a.bf

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} + 3 q^{7} + 6 q^{9} + 4 q^{13} + 3 q^{15} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display