Properties

Label 39984bz
Number of curves $1$
Conductor $39984$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bz1")
 
E.isogeny_class()
 

Elliptic curves in class 39984bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39984.a1 39984bz1 \([0, -1, 0, -1045, -13859]\) \(-629407744/70227\) \(-14094839808\) \([]\) \(43200\) \(0.68472\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39984bz1 has rank \(1\).

Complex multiplication

The elliptic curves in class 39984bz do not have complex multiplication.

Modular form 39984.2.a.bz

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