Properties

Label 67270.bb
Number of curves $1$
Conductor $67270$
CM no
Rank $0$

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

Elliptic curves in class 67270.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67270.bb1 67270be1 \([1, 1, 1, -5786, 101823]\) \(24137569/8680\) \(7703531951080\) \([]\) \(138240\) \(1.1735\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67270.bb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67270.bb do not have complex multiplication.

Modular form 67270.2.a.bb

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{5} - q^{6} + q^{7} + q^{8} - 2 q^{9} - q^{10} + 5 q^{11} - q^{12} + 5 q^{13} + q^{14} + q^{15} + q^{16} - 2 q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display