Properties

Label 129600ei
Number of curves $1$
Conductor $129600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("ei1")
 
E.isogeny_class()
 

Elliptic curves in class 129600ei

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129600.ig1 129600ei1 \([0, 0, 0, -2700, 27000]\) \(2304\) \(944784000000\) \([]\) \(161280\) \(0.99401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129600ei1 has rank \(0\).

Complex multiplication

The elliptic curves in class 129600ei do not have complex multiplication.

Modular form 129600.2.a.ei

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 5 q^{11} - 5 q^{13} - 2 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display