Properties

Label 80688bb
Number of curves $1$
Conductor $80688$
CM no
Rank $1$

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

Elliptic curves in class 80688bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
80688.z1 80688bb1 \([0, 1, 0, -17944, -915820]\) \(92806423177/1769472\) \(12183480041472\) \([]\) \(193536\) \(1.3042\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 80688bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 80688bb do not have complex multiplication.

Modular form 80688.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{5} + 2 q^{7} + q^{9} + q^{11} + 5 q^{13} - 2 q^{15} - 4 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display