Properties

Label 27584.v
Number of curves $1$
Conductor $27584$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("v1")
 
E.isogeny_class()
 

Elliptic curves in class 27584.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27584.v1 27584x1 \([0, 1, 0, 95, 991]\) \(357911/1724\) \(-451936256\) \([]\) \(6144\) \(0.34306\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584.v1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.v

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