Properties

Label 18864bb
Number of curves $1$
Conductor $18864$
CM no
Rank $0$

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

Elliptic curves in class 18864bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
18864.x1 18864bb1 \([0, 0, 0, -123987, 16633618]\) \(70593496254289/824180736\) \(2460990490804224\) \([]\) \(96768\) \(1.7656\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 18864bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 18864bb do not have complex multiplication.

Modular form 18864.2.a.bb

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