Properties

Label 450840.bz
Number of curves $1$
Conductor $450840$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 450840.bz

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
450840.bz1 450840bz1 \([0, 1, 0, -40876256, -192063025056]\) \(-152796558778456322/233895263671875\) \(-11562317958457500000000000\) \([]\) \(86261760\) \(3.5007\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 450840.bz1 has rank \(0\).

Complex multiplication

The elliptic curves in class 450840.bz do not have complex multiplication.

Modular form 450840.2.a.bz

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