Properties

Label 22800ci
Number of curves $1$
Conductor $22800$
CM no
Rank $1$

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

Elliptic curves in class 22800ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22800.a1 22800ci1 \([0, -1, 0, -933, -11763]\) \(-1404928/171\) \(-10944000000\) \([]\) \(17280\) \(0.66132\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22800ci1 has rank \(1\).

Complex multiplication

The elliptic curves in class 22800ci do not have complex multiplication.

Modular form 22800.2.a.ci

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