Properties

Label 194271.z
Number of curves $1$
Conductor $194271$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 194271.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
194271.z1 194271y1 \([1, 0, 1, -18, -288125]\) \(-1/60291\) \(-35862492846411\) \([]\) \(362880\) \(1.2798\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 194271.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 194271.z do not have complex multiplication.

Modular form 194271.2.a.z

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} - q^{4} + q^{5} + q^{6} - q^{7} - 3 q^{8} + q^{9} + q^{10} - q^{11} - q^{12} - q^{13} - q^{14} + q^{15} - q^{16} - 5 q^{17} + q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display