Properties

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

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 3024.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
3024.n1 3024e1 \([0, 0, 0, -362988, -82933524]\) \(116634423954432/1977326743\) \(89671040138808576\) \([]\) \(31680\) \(2.0507\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 3024.n1 has rank \(0\).

Complex multiplication

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

Modular form 3024.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 6 q^{11} + 4 q^{13} + 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display