Properties

Label 4536.i
Number of curves $1$
Conductor $4536$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 4536.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
4536.i1 4536d1 \([0, 0, 0, 81, 243]\) \(6912/7\) \(-59521392\) \([]\) \(864\) \(0.17869\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 4536.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 4536.i do not have complex multiplication.

Modular form 4536.2.a.i

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