Properties

Label 3024.i
Number of curves $1$
Conductor $3024$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 3024.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.i1 3024d1 \([0, 0, 0, -108, -324]\) \(27648/7\) \(35271936\) \([]\) \(576\) \(0.15796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 3024.i do not have complex multiplication.

Modular form 3024.2.a.i

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