Properties

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

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

Elliptic curves in class 3024i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.x1 3024i1 \([0, 0, 0, -12, 12]\) \(27648/7\) \(48384\) \([]\) \(192\) \(-0.39135\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 3024i 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