Properties

Label 21600v
Number of curves $1$
Conductor $21600$
CM no
Rank $0$

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

Elliptic curves in class 21600v

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21600.z1 21600v1 \([0, 0, 0, 5400, 54000]\) \(1536\) \(-11337408000000\) \([]\) \(36864\) \(1.1938\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21600v1 has rank \(0\).

Complex multiplication

The elliptic curves in class 21600v do not have complex multiplication.

Modular form 21600.2.a.v

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