Properties

Label 67760bz
Number of curves $1$
Conductor $67760$
CM no
Rank $0$

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

Elliptic curves in class 67760bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
67760.o1 67760bz1 \([0, -1, 0, -637600, -195797248]\) \(-57839429434456681/16470860000\) \(-8163221749760000\) \([]\) \(645120\) \(2.0338\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 67760bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 67760bz do not have complex multiplication.

Modular form 67760.2.a.bz

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