Properties

Label 93600cy
Number of curves $1$
Conductor $93600$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("cy1")
 
E.isogeny_class()
 

Elliptic curves in class 93600cy

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
93600.ej1 93600cy1 \([0, 0, 0, -183000, -30150000]\) \(-3137785344/2197\) \(-474552000000000\) \([]\) \(460800\) \(1.7526\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 93600cy1 has rank \(1\).

Complex multiplication

The elliptic curves in class 93600cy do not have complex multiplication.

Modular form 93600.2.a.cy

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 3 q^{11} - q^{13} - 5 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display