Properties

Label 134310.bf
Number of curves $1$
Conductor $134310$
CM no
Rank $0$

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

Elliptic curves in class 134310.bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
134310.bf1 134310bu1 \([1, 0, 1, -38981968, 106649163806]\) \(-30561417707176694041/5237637120000000\) \(-1122734032127262720000000\) \([]\) \(27675648\) \(3.3412\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 134310.bf1 has rank \(0\).

Complex multiplication

The elliptic curves in class 134310.bf do not have complex multiplication.

Modular form 134310.2.a.bf

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + q^{5} - q^{6} + 2 q^{7} - q^{8} + q^{9} - q^{10} + q^{12} - 2 q^{13} - 2 q^{14} + q^{15} + q^{16} - 2 q^{17} - q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display