Properties

Label 60690.bz
Number of curves $1$
Conductor $60690$
CM no
Rank $0$

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

Elliptic curves in class 60690.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
60690.bz1 60690bv1 \([1, 0, 0, -91, 371]\) \(-288568081/47250\) \(-13655250\) \([]\) \(19440\) \(0.096608\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 60690.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 60690.bz do not have complex multiplication.

Modular form 60690.2.a.bz

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