Properties

Label 5184.i
Number of curves $1$
Conductor $5184$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
sage: E = EllipticCurve("i1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 5184.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5184.i1 5184q1 \([0, 0, 0, -108, 216]\) \(2304\) \(60466176\) \([]\) \(1152\) \(0.18929\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5184.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5184.i do not have complex multiplication.

Modular form 5184.2.a.i

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