Properties

Label 22800i
Number of curves $1$
Conductor $22800$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 22800i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
22800.j1 22800i1 \([0, -1, 0, -608, -7248]\) \(-972542500/373977\) \(-9573811200\) \([]\) \(13824\) \(0.62466\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 22800i1 has rank \(0\).

Complex multiplication

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

Modular form 22800.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{7} + q^{9} + q^{11} - 6 q^{13} + 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display