Properties

Label 10584.v
Number of curves $1$
Conductor $10584$
CM no
Rank $0$

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

Elliptic curves in class 10584.v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10584.v1 10584c1 \([0, 0, 0, -11907, -537138]\) \(-78732/7\) \(-16598831993856\) \([]\) \(13824\) \(1.2803\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10584.v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10584.v do not have complex multiplication.

Modular form 10584.2.a.v

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