Properties

Label 84150by
Number of curves $1$
Conductor $84150$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 84150by

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
84150.o1 84150by1 \([1, -1, 0, -152262, 26479156]\) \(-21420636414894985/4175798730752\) \(-76103931867955200\) \([]\) \(1105920\) \(1.9626\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 84150by1 has rank \(1\).

Complex multiplication

The elliptic curves in class 84150by do not have complex multiplication.

Modular form 84150.2.a.by

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