Properties

Label 133200ej
Number of curves $1$
Conductor $133200$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ej1")
 
E.isogeny_class()
 

Elliptic curves in class 133200ej

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
133200.ba1 133200ej1 \([0, 0, 0, 41325, -1176750]\) \(4516672077/2960000\) \(-5114880000000000\) \([]\) \(516096\) \(1.7031\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 133200ej1 has rank \(1\).

Complex multiplication

The elliptic curves in class 133200ej do not have complex multiplication.

Modular form 133200.2.a.ej

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