Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 27584c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27584.r1 27584c1 \([0, 1, 0, 23, -41]\) \(314432/431\) \(-1765376\) \([]\) \(3840\) \(-0.11563\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27584c1 has rank \(1\).

Complex multiplication

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

Modular form 27584.2.a.c

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