Properties

Label 27584g
Number of curves $1$
Conductor $27584$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 27584g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27584.bc1 27584g1 \([0, 0, 0, -4492, 115952]\) \(-38238692409/27584\) \(-7230980096\) \([]\) \(36864\) \(0.82682\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584g1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.g

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