Properties

Label 21600.ci
Number of curves $1$
Conductor $21600$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 21600.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
21600.ci1 21600cj1 \([0, 0, 0, -600, 6000]\) \(-13824\) \(-1728000000\) \([]\) \(12288\) \(0.52211\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 21600.ci1 has rank \(1\).

Complex multiplication

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

Modular form 21600.2.a.ci

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