Properties

Label 27584n
Number of curves $1$
Conductor $27584$
CM no
Rank $0$

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

Elliptic curves in class 27584n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27584.bb1 27584n1 \([0, 0, 0, -8212, -286432]\) \(-14952388971456/431\) \(-1765376\) \([]\) \(35840\) \(0.70758\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27584n do not have complex multiplication.

Modular form 27584.2.a.n

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + q^{5} - 4 q^{7} + 6 q^{9} - 3 q^{11} - 2 q^{13} + 3 q^{15} + 4 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display