Properties

Label 400064bf
Number of curves $1$
Conductor $400064$
CM no
Rank $1$

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

Elliptic curves in class 400064bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
400064.bf1 400064bf1 \([0, 1, 0, -141, 611]\) \(-304900096/6251\) \(-6401024\) \([]\) \(61440\) \(0.097618\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 400064bf1 has rank \(1\).

Complex multiplication

The elliptic curves in class 400064bf do not have complex multiplication.

Modular form 400064.2.a.bf

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