Properties

Label 147294by
Number of curves $1$
Conductor $147294$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("by1")
 
E.isogeny_class()
 

Elliptic curves in class 147294by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
147294.k1 147294by1 \([1, -1, 0, 24687, -12335]\) \(19400056703/11227076\) \(-962902758692196\) \([]\) \(576000\) \(1.5645\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 147294by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 147294by do not have complex multiplication.

Modular form 147294.2.a.by

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