Properties

Label 137904.by
Number of curves $1$
Conductor $137904$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 137904.by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
137904.by1 137904f1 \([0, 1, 0, -69, -909]\) \(-53248/459\) \(-317730816\) \([]\) \(60480\) \(0.31402\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 137904.by1 has rank \(0\).

Complex multiplication

The elliptic curves in class 137904.by do not have complex multiplication.

Modular form 137904.2.a.by

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