Properties

Label 188760.bz
Number of curves $1$
Conductor $188760$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 188760.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.bz1 188760ca1 \([0, 1, 0, -33294521, -73956479445]\) \(-74380756680592384/748446075\) \(-41071632160215571200\) \([]\) \(14868480\) \(2.9225\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 188760.bz do not have complex multiplication.

Modular form 188760.2.a.bz

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3q^{7} + q^{9} + q^{13} - q^{15} + 8q^{17} + 5q^{19} + O(q^{20})\)  Toggle raw display